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 this math problem 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 verbal math problem are needed these knowledge from mathematics:

Next similar math problems:

  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. 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?
  3. The dice
    hracia-kocka What is the probability of events that if we throw a dice is rolled less than 6?
  4. 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?
  5. Three-digit
    seven How many three-digit natural numbers do not have the number 7?
  6. 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?
  7. Powers
    1power Express the expression ? as the n-th power of the base 10.
  8. Mom and daughter
    family_1 Mother is 39 years old. Her daughter is 15 years. For many years will mother be four times older than the daughter?
  9. 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?
  10. Walnuts
    orechy_2 x walnuts were in the mission. Dano took 1/4 of nuts Michael took 1/8 from the rest and John took 34 nuts. It stayed here 29 nuts. Determine the original number of nuts.
  11. Functions f,g
    linear_eq_4 Find g(1) if g(x) = 3x - x2 Find f(5) if f(x) = x + 1/2
  12. 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?
  13. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  14. 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?
  15. 6 terms
    arithmet_seq Find the first six terms of the sequence. a1 = 7, an = an-1 + 6
  16. Two equations
    children_23 Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5
  17. Nineteenth member
    seq_sum_1 Find the nineteenth member of the arithmetic sequence: a1=33 d=5 find a19