Basket of fruit

In six baskets, the seller has fruit. In individual baskets, there are only apples or just pears with the following number of fruits: 5,6,12,14,23 and 29. "If I sell this basket," the salesman thinks, "then I will have just as many apples as a pear." Which basket did the salesman think?

Result

x =  29

Solution:

j5j6j12j14j23j29 :::H=0; J=89
 **** K=5 ** H=0; J=84
 **** K=6 ** H=0; J=83
 **** K=12 ** H=0; J=77
 **** K=14 ** H=0; J=75
 **** K=23 ** H=0; J=66
 **** K=29 ** H=0; J=60
h5j6j12j14j23j29 :::H=5; J=84
 **** K=5 ** H=0; J=84
 **** K=6 ** H=5; J=78
 **** K=12 ** H=5; J=72
 **** K=14 ** H=5; J=70
 **** K=23 ** H=5; J=61
 **** K=29 ** H=5; J=55
j5h6j12j14j23j29 :::H=6; J=83
 **** K=5 ** H=6; J=78
 **** K=6 ** H=0; J=83
 **** K=12 ** H=6; J=71
 **** K=14 ** H=6; J=69
 **** K=23 ** H=6; J=60
 **** K=29 ** H=6; J=54
h5h6j12j14j23j29 :::H=11; J=78
 **** K=5 ** H=6; J=78
 **** K=6 ** H=5; J=78
 **** K=12 ** H=11; J=66
 **** K=14 ** H=11; J=64
 **** K=23 ** H=11; J=55
 **** K=29 ** H=11; J=49
j5j6h12j14j23j29 :::H=12; J=77
 **** K=5 ** H=12; J=72
 **** K=6 ** H=12; J=71
 **** K=12 ** H=0; J=77
 **** K=14 ** H=12; J=63
 **** K=23 ** H=12; J=54
 **** K=29 ** H=12; J=48
h5j6h12j14j23j29 :::H=17; J=72
 **** K=5 ** H=12; J=72
 **** K=6 ** H=17; J=66
 **** K=12 ** H=5; J=72
 **** K=14 ** H=17; J=58
 **** K=23 ** H=17; J=49
 **** K=29 ** H=17; J=43
j5h6h12j14j23j29 :::H=18; J=71
 **** K=5 ** H=18; J=66
 **** K=6 ** H=12; J=71
 **** K=12 ** H=6; J=71
 **** K=14 ** H=18; J=57
 **** K=23 ** H=18; J=48
 **** K=29 ** H=18; J=42
h5h6h12j14j23j29 :::H=23; J=66
 **** K=5 ** H=18; J=66
 **** K=6 ** H=17; J=66
 **** K=12 ** H=11; J=66
 **** K=14 ** H=23; J=52
 **** K=23 ** H=23; J=43
 **** K=29 ** H=23; J=37
j5j6j12h14j23j29 :::H=14; J=75
 **** K=5 ** H=14; J=70
 **** K=6 ** H=14; J=69
 **** K=12 ** H=14; J=63
 **** K=14 ** H=0; J=75
 **** K=23 ** H=14; J=52
 **** K=29 ** H=14; J=46
h5j6j12h14j23j29 :::H=19; J=70
 **** K=5 ** H=14; J=70
 **** K=6 ** H=19; J=64
 **** K=12 ** H=19; J=58
 **** K=14 ** H=5; J=70
 **** K=23 ** H=19; J=47
 **** K=29 ** H=19; J=41
j5h6j12h14j23j29 :::H=20; J=69
 **** K=5 ** H=20; J=64
 **** K=6 ** H=14; J=69
 **** K=12 ** H=20; J=57
 **** K=14 ** H=6; J=69
 **** K=23 ** H=20; J=46
 **** K=29 ** H=20; J=40 OK OK OK 
h5h6j12h14j23j29 :::H=25; J=64
 **** K=5 ** H=20; J=64
 **** K=6 ** H=19; J=64
 **** K=12 ** H=25; J=52
 **** K=14 ** H=11; J=64
 **** K=23 ** H=25; J=41
 **** K=29 ** H=25; J=35
j5j6h12h14j23j29 :::H=26; J=63
 **** K=5 ** H=26; J=58
 **** K=6 ** H=26; J=57
 **** K=12 ** H=14; J=63
 **** K=14 ** H=12; J=63
 **** K=23 ** H=26; J=40
 **** K=29 ** H=26; J=34
h5j6h12h14j23j29 :::H=31; J=58
 **** K=5 ** H=26; J=58
 **** K=6 ** H=31; J=52
 **** K=12 ** H=19; J=58
 **** K=14 ** H=17; J=58
 **** K=23 ** H=31; J=35
 **** K=29 ** H=31; J=29
j5h6h12h14j23j29 :::H=32; J=57
 **** K=5 ** H=32; J=52
 **** K=6 ** H=26; J=57
 **** K=12 ** H=20; J=57
 **** K=14 ** H=18; J=57
 **** K=23 ** H=32; J=34
 **** K=29 ** H=32; J=28
h5h6h12h14j23j29 :::H=37; J=52
 **** K=5 ** H=32; J=52
 **** K=6 ** H=31; J=52
 **** K=12 ** H=25; J=52
 **** K=14 ** H=23; J=52
 **** K=23 ** H=37; J=29
 **** K=29 ** H=37; J=23
j5j6j12j14h23j29 :::H=23; J=66
 **** K=5 ** H=23; J=61
 **** K=6 ** H=23; J=60
 **** K=12 ** H=23; J=54
 **** K=14 ** H=23; J=52
 **** K=23 ** H=0; J=66
 **** K=29 ** H=23; J=37
h5j6j12j14h23j29 :::H=28; J=61
 **** K=5 ** H=23; J=61
 **** K=6 ** H=28; J=55
 **** K=12 ** H=28; J=49
 **** K=14 ** H=28; J=47
 **** K=23 ** H=5; J=61
 **** K=29 ** H=28; J=32
j5h6j12j14h23j29 :::H=29; J=60
 **** K=5 ** H=29; J=55
 **** K=6 ** H=23; J=60
 **** K=12 ** H=29; J=48
 **** K=14 ** H=29; J=46
 **** K=23 ** H=6; J=60
 **** K=29 ** H=29; J=31
h5h6j12j14h23j29 :::H=34; J=55
 **** K=5 ** H=29; J=55
 **** K=6 ** H=28; J=55
 **** K=12 ** H=34; J=43
 **** K=14 ** H=34; J=41
 **** K=23 ** H=11; J=55
 **** K=29 ** H=34; J=26
j5j6h12j14h23j29 :::H=35; J=54
 **** K=5 ** H=35; J=49
 **** K=6 ** H=35; J=48
 **** K=12 ** H=23; J=54
 **** K=14 ** H=35; J=40
 **** K=23 ** H=12; J=54
 **** K=29 ** H=35; J=25
h5j6h12j14h23j29 :::H=40; J=49
 **** K=5 ** H=35; J=49
 **** K=6 ** H=40; J=43
 **** K=12 ** H=28; J=49
 **** K=14 ** H=40; J=35
 **** K=23 ** H=17; J=49
 **** K=29 ** H=40; J=20
j5h6h12j14h23j29 :::H=41; J=48
 **** K=5 ** H=41; J=43
 **** K=6 ** H=35; J=48
 **** K=12 ** H=29; J=48
 **** K=14 ** H=41; J=34
 **** K=23 ** H=18; J=48
 **** K=29 ** H=41; J=19
h5h6h12j14h23j29 :::H=46; J=43
 **** K=5 ** H=41; J=43
 **** K=6 ** H=40; J=43
 **** K=12 ** H=34; J=43
 **** K=14 ** H=46; J=29
 **** K=23 ** H=23; J=43
 **** K=29 ** H=46; J=14
j5j6j12h14h23j29 :::H=37; J=52
 **** K=5 ** H=37; J=47
 **** K=6 ** H=37; J=46
 **** K=12 ** H=37; J=40
 **** K=14 ** H=23; J=52
 **** K=23 ** H=14; J=52
 **** K=29 ** H=37; J=23
h5j6j12h14h23j29 :::H=42; J=47
 **** K=5 ** H=37; J=47
 **** K=6 ** H=42; J=41
 **** K=12 ** H=42; J=35
 **** K=14 ** H=28; J=47
 **** K=23 ** H=19; J=47
 **** K=29 ** H=42; J=18
j5h6j12h14h23j29 :::H=43; J=46
 **** K=5 ** H=43; J=41
 **** K=6 ** H=37; J=46
 **** K=12 ** H=43; J=34
 **** K=14 ** H=29; J=46
 **** K=23 ** H=20; J=46
 **** K=29 ** H=43; J=17
h5h6j12h14h23j29 :::H=48; J=41
 **** K=5 ** H=43; J=41
 **** K=6 ** H=42; J=41
 **** K=12 ** H=48; J=29
 **** K=14 ** H=34; J=41
 **** K=23 ** H=25; J=41
 **** K=29 ** H=48; J=12
j5j6h12h14h23j29 :::H=49; J=40
 **** K=5 ** H=49; J=35
 **** K=6 ** H=49; J=34
 **** K=12 ** H=37; J=40
 **** K=14 ** H=35; J=40
 **** K=23 ** H=26; J=40
 **** K=29 ** H=49; J=11
h5j6h12h14h23j29 :::H=54; J=35
 **** K=5 ** H=49; J=35
 **** K=6 ** H=54; J=29
 **** K=12 ** H=42; J=35
 **** K=14 ** H=40; J=35
 **** K=23 ** H=31; J=35
 **** K=29 ** H=54; J=6
j5h6h12h14h23j29 :::H=55; J=34
 **** K=5 ** H=55; J=29
 **** K=6 ** H=49; J=34
 **** K=12 ** H=43; J=34
 **** K=14 ** H=41; J=34
 **** K=23 ** H=32; J=34
 **** K=29 ** H=55; J=5
h5h6h12h14h23j29 :::H=60; J=29
 **** K=5 ** H=55; J=29
 **** K=6 ** H=54; J=29
 **** K=12 ** H=48; J=29
 **** K=14 ** H=46; J=29
 **** K=23 ** H=37; J=29
 **** K=29 ** H=60; J=0
j5j6j12j14j23h29 :::H=29; J=60
 **** K=5 ** H=29; J=55
 **** K=6 ** H=29; J=54
 **** K=12 ** H=29; J=48
 **** K=14 ** H=29; J=46
 **** K=23 ** H=29; J=37
 **** K=29 ** H=0; J=60
h5j6j12j14j23h29 :::H=34; J=55
 **** K=5 ** H=29; J=55
 **** K=6 ** H=34; J=49
 **** K=12 ** H=34; J=43
 **** K=14 ** H=34; J=41
 **** K=23 ** H=34; J=32
 **** K=29 ** H=5; J=55
j5h6j12j14j23h29 :::H=35; J=54
 **** K=5 ** H=35; J=49
 **** K=6 ** H=29; J=54
 **** K=12 ** H=35; J=42
 **** K=14 ** H=35; J=40
 **** K=23 ** H=35; J=31
 **** K=29 ** H=6; J=54
h5h6j12j14j23h29 :::H=40; J=49
 **** K=5 ** H=35; J=49
 **** K=6 ** H=34; J=49
 **** K=12 ** H=40; J=37
 **** K=14 ** H=40; J=35
 **** K=23 ** H=40; J=26
 **** K=29 ** H=11; J=49
j5j6h12j14j23h29 :::H=41; J=48
 **** K=5 ** H=41; J=43
 **** K=6 ** H=41; J=42
 **** K=12 ** H=29; J=48
 **** K=14 ** H=41; J=34
 **** K=23 ** H=41; J=25
 **** K=29 ** H=12; J=48
h5j6h12j14j23h29 :::H=46; J=43
 **** K=5 ** H=41; J=43
 **** K=6 ** H=46; J=37
 **** K=12 ** H=34; J=43
 **** K=14 ** H=46; J=29
 **** K=23 ** H=46; J=20
 **** K=29 ** H=17; J=43
j5h6h12j14j23h29 :::H=47; J=42
 **** K=5 ** H=47; J=37
 **** K=6 ** H=41; J=42
 **** K=12 ** H=35; J=42
 **** K=14 ** H=47; J=28
 **** K=23 ** H=47; J=19
 **** K=29 ** H=18; J=42
h5h6h12j14j23h29 :::H=52; J=37
 **** K=5 ** H=47; J=37
 **** K=6 ** H=46; J=37
 **** K=12 ** H=40; J=37
 **** K=14 ** H=52; J=23
 **** K=23 ** H=52; J=14
 **** K=29 ** H=23; J=37
j5j6j12h14j23h29 :::H=43; J=46
 **** K=5 ** H=43; J=41
 **** K=6 ** H=43; J=40
 **** K=12 ** H=43; J=34
 **** K=14 ** H=29; J=46
 **** K=23 ** H=43; J=23
 **** K=29 ** H=14; J=46
h5j6j12h14j23h29 :::H=48; J=41
 **** K=5 ** H=43; J=41
 **** K=6 ** H=48; J=35
 **** K=12 ** H=48; J=29
 **** K=14 ** H=34; J=41
 **** K=23 ** H=48; J=18
 **** K=29 ** H=19; J=41
j5h6j12h14j23h29 :::H=49; J=40
 **** K=5 ** H=49; J=35
 **** K=6 ** H=43; J=40
 **** K=12 ** H=49; J=28
 **** K=14 ** H=35; J=40
 **** K=23 ** H=49; J=17
 **** K=29 ** H=20; J=40 OK OK OK 
h5h6j12h14j23h29 :::H=54; J=35
 **** K=5 ** H=49; J=35
 **** K=6 ** H=48; J=35
 **** K=12 ** H=54; J=23
 **** K=14 ** H=40; J=35
 **** K=23 ** H=54; J=12
 **** K=29 ** H=25; J=35
j5j6h12h14j23h29 :::H=55; J=34
 **** K=5 ** H=55; J=29
 **** K=6 ** H=55; J=28
 **** K=12 ** H=43; J=34
 **** K=14 ** H=41; J=34
 **** K=23 ** H=55; J=11
 **** K=29 ** H=26; J=34
h5j6h12h14j23h29 :::H=60; J=29
 **** K=5 ** H=55; J=29
 **** K=6 ** H=60; J=23
 **** K=12 ** H=48; J=29
 **** K=14 ** H=46; J=29
 **** K=23 ** H=60; J=6
 **** K=29 ** H=31; J=29
j5h6h12h14j23h29 :::H=61; J=28
 **** K=5 ** H=61; J=23
 **** K=6 ** H=55; J=28
 **** K=12 ** H=49; J=28
 **** K=14 ** H=47; J=28
 **** K=23 ** H=61; J=5
 **** K=29 ** H=32; J=28
h5h6h12h14j23h29 :::H=66; J=23
 **** K=5 ** H=61; J=23
 **** K=6 ** H=60; J=23
 **** K=12 ** H=54; J=23
 **** K=14 ** H=52; J=23
 **** K=23 ** H=66; J=0
 **** K=29 ** H=37; J=23
j5j6j12j14h23h29 :::H=52; J=37
 **** K=5 ** H=52; J=32
 **** K=6 ** H=52; J=31
 **** K=12 ** H=52; J=25
 **** K=14 ** H=52; J=23
 **** K=23 ** H=29; J=37
 **** K=29 ** H=23; J=37
h5j6j12j14h23h29 :::H=57; J=32
 **** K=5 ** H=52; J=32
 **** K=6 ** H=57; J=26
 **** K=12 ** H=57; J=20
 **** K=14 ** H=57; J=18
 **** K=23 ** H=34; J=32
 **** K=29 ** H=28; J=32
j5h6j12j14h23h29 :::H=58; J=31
 **** K=5 ** H=58; J=26
 **** K=6 ** H=52; J=31
 **** K=12 ** H=58; J=19
 **** K=14 ** H=58; J=17
 **** K=23 ** H=35; J=31
 **** K=29 ** H=29; J=31
h5h6j12j14h23h29 :::H=63; J=26
 **** K=5 ** H=58; J=26
 **** K=6 ** H=57; J=26
 **** K=12 ** H=63; J=14
 **** K=14 ** H=63; J=12
 **** K=23 ** H=40; J=26
 **** K=29 ** H=34; J=26
j5j6h12j14h23h29 :::H=64; J=25
 **** K=5 ** H=64; J=20
 **** K=6 ** H=64; J=19
 **** K=12 ** H=52; J=25
 **** K=14 ** H=64; J=11
 **** K=23 ** H=41; J=25
 **** K=29 ** H=35; J=25
h5j6h12j14h23h29 :::H=69; J=20
 **** K=5 ** H=64; J=20
 **** K=6 ** H=69; J=14
 **** K=12 ** H=57; J=20
 **** K=14 ** H=69; J=6
 **** K=23 ** H=46; J=20
 **** K=29 ** H=40; J=20
j5h6h12j14h23h29 :::H=70; J=19
 **** K=5 ** H=70; J=14
 **** K=6 ** H=64; J=19
 **** K=12 ** H=58; J=19
 **** K=14 ** H=70; J=5
 **** K=23 ** H=47; J=19
 **** K=29 ** H=41; J=19
h5h6h12j14h23h29 :::H=75; J=14
 **** K=5 ** H=70; J=14
 **** K=6 ** H=69; J=14
 **** K=12 ** H=63; J=14
 **** K=14 ** H=75; J=0
 **** K=23 ** H=52; J=14
 **** K=29 ** H=46; J=14
j5j6j12h14h23h29 :::H=66; J=23
 **** K=5 ** H=66; J=18
 **** K=6 ** H=66; J=17
 **** K=12 ** H=66; J=11
 **** K=14 ** H=52; J=23
 **** K=23 ** H=43; J=23
 **** K=29 ** H=37; J=23
h5j6j12h14h23h29 :::H=71; J=18
 **** K=5 ** H=66; J=18
 **** K=6 ** H=71; J=12
 **** K=12 ** H=71; J=6
 **** K=14 ** H=57; J=18
 **** K=23 ** H=48; J=18
 **** K=29 ** H=42; J=18
j5h6j12h14h23h29 :::H=72; J=17
 **** K=5 ** H=72; J=12
 **** K=6 ** H=66; J=17
 **** K=12 ** H=72; J=5
 **** K=14 ** H=58; J=17
 **** K=23 ** H=49; J=17
 **** K=29 ** H=43; J=17
h5h6j12h14h23h29 :::H=77; J=12
 **** K=5 ** H=72; J=12
 **** K=6 ** H=71; J=12
 **** K=12 ** H=77; J=0
 **** K=14 ** H=63; J=12
 **** K=23 ** H=54; J=12
 **** K=29 ** H=48; J=12
j5j6h12h14h23h29 :::H=78; J=11
 **** K=5 ** H=78; J=6
 **** K=6 ** H=78; J=5
 **** K=12 ** H=66; J=11
 **** K=14 ** H=64; J=11
 **** K=23 ** H=55; J=11
 **** K=29 ** H=49; J=11
h5j6h12h14h23h29 :::H=83; J=6
 **** K=5 ** H=78; J=6
 **** K=6 ** H=83; J=0
 **** K=12 ** H=71; J=6
 **** K=14 ** H=69; J=6
 **** K=23 ** H=60; J=6
 **** K=29 ** H=54; J=6
j5h6h12h14h23h29 :::H=84; J=5
 **** K=5 ** H=84; J=0
 **** K=6 ** H=78; J=5
 **** K=12 ** H=72; J=5
 **** K=14 ** H=70; J=5
 **** K=23 ** H=61; J=5
 **** K=29 ** H=55; J=5
h5h6h12h14h23h29 :::H=89; J=0
 **** K=5 ** H=84; J=0
 **** K=6 ** H=83; J=0
 **** K=12 ** H=77; J=0
 **** K=14 ** H=75; J=0
 **** K=23 ** H=66; J=0
 **** K=29 ** H=60; J=0








Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




To solve this example are needed these knowledge from mathematics:

Next similar examples:

  1. Cows and calves
    cow_5 There are 168 cows and calves in the cowshed. Cows are in nine stalls and calves in four stalls. Same count cows are in every cow stall and three more in each calf stall than in a cow stall. What is the capacity of the stalls for cows and what for calves?
  2. Candies
    bonbons_2 In the box are 12 candies that look the same. Three of them are filled with nougat, five by nuts, four by cream. At least how many candies must Ivan choose to satisfy itself that the selection of two with the same filling? ?
  3. Toy cars
    numbers2_13 Pavel has a collection of toy cars. He wanted to regroup them. But in the division of three, four, six, and eight, he was always one left. Only when he formed groups of seven, he divided everyone. How many toy cars have in the collection?
  4. Three-digit
    seven How many three-digit natural numbers do not have the number 7?
  5. Candies
    bonbon If Alena give Lenka 3 candy will still have 1 more candy. If Lenka give Alena 1 candy Alena will hame twice more than Lenka. How many candies have each of them?
  6. The dice
    hracia-kocka What is the probability of events that if we throw a dice is rolled less than 6?
  7. Antennas
    antenas If you give me two antennas will be same. If you give me again your two antenna I have a 5× so many than you. How many antennas have both mans?
  8. Tunnels
    Mysky Mice had built an underground house consisting of chambers and tunnels: • each tunnel leading from the chamber to the chamber (none is blind) • from each chamber lead just three tunnels into three distinct chambers, • from each chamber mice can get to any
  9. Three friends
    oriental The three friends spent 600 KC in a teahouse. Thomas paid twice as much as Paul. Paul a half less than Zdeněk. How many each paid?
  10. Circus
    cirkus On the circus performance was 150 people. Men were 10 less than women and children 50 more than adults. How many children were in the circus?
  11. Sheep and cows
    sheep_4 There are only sheep and cows on the farm. Sheep is eight more than cows. The number of cows is half the number of sheep. How many animals live on the farm?
  12. Theorem prove
    thales_1 We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  13. Balls
    kulicky Michal said to Martin: give me one ball and I'll have twice as you. Martin said: give me 4 and we will have equally. How many balls each have?
  14. Factory and divisions
    factory_2 The factory consists of three auxiliary divisions total 2,406 employees. The second division has 76 employees less than 1st division and 3rd division has 212 employees more than the 2nd. How many employees has each division?
  15. Tickets
    tickets Tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. In the high season, 1200 people come to the zoo every day. On a certain day, the total revenue at the zoo was $5300. For every 3 teenagers, 8 children went to the zoo. How many te
  16. Trees
    tree_1 A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
  17. Two equations
    children_23 Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5