System of equations - 6th grade (11y) - math problems

Number of problems found: 64

  • Have solution
    numbers_44 The sum of four consecutive even numbers is 92. Determine these numbers.
  • Benches
    garden_13 The park has 64 benches. Occupied are by 18 more than empty. How many benches are occupied and empty ?
  • Purchase
    supermarket Three buyers pay € 468. The first paid 3-times more than second, third half over second. How many euros paid each of them?
  • Wine
    vino_1 A bottle of wine costs 21 euros; and wine is 20 times more expensive than a bottle. How much a bottle cost?
  • Father and son
    father_son Father and son are together 78 years. Son is 25 years younger than father. How old is the son?
  • Hostel
    student Students are accommodated in 22 rooms. Rooms were 4 and 6 bed. How many rooms in which type occupied 106 children there?
  • Coffee
    coffee Coffee from the machine in the cup cost 28 cents. Coffee is 20 cents more expensive than the cup. How much is the cup?
  • Family
    family_5 Son is 3/5 smaller than the mother. Mother is 99 cm higher than the son. How tall is the mother?
  • The fruit basket
    jablka The fruit basket is five times heavier than the empty basket. Filled is 20kg heavier than empty. Determine the weight of the fruit in the basket.
  • Rectangle
    rectangle_4 The length of one side of the rectangle is three times the length of the second side. What are the dimensions of the rectangle if its circumference 96 cm?
  • Brothers and sisters
    family Lenka has as many brothers as sisters. Her brothers have twice as many sisters as brothers. How many brothers and sisters are in the family?
  • Ratio three numbers
    suv Three numbers SUV are in the ratio 1:2:3. Their sum is 24. Find this numbers and write their add and sum.
  • Pets in ZOO
    chicken_3 The zoo have run for pets. They are chickens, pigs and cow. Altogether there has 20 heads and 60 feet. How many chickens and piglets are there?
  • Rabbit family
    kralici_1 Rabbit family ate 32 pieces of carrots, small one ate 6 pieces, dad 5 more than the mother. How much ate mom?
  • Playing Cards
    cards_1 Kara has 2 times more cards than Dana, Dana has 4× less than Mary. Together they have 728 cards. How many cards has each of them?
  • Book
    math_book John read the book so that it read 30 pages per day. Maxim read 34 pages a day and read it two days earlier than John. How many pages has the book?
  • Chicken and rabbits (classic)
    zajace Grandmother breeding chickens and rabbits. It found that the yard has 35 heads and 108 legs. How many chickens and rabbits breeding in the yard?
  • Birds
    krocani On the farm they have a total of 110 birds. Geese and turkeys together is 47. Hens is three times more than the turkey. How much is poultry by species?
  • Gardens
    garden_3 The garden has the square shape with circumference 124 m. Divide it into two rectangular gardens, one should circumference 10 meters more than the second. What size will have a gardens?
  • Cents
    cents_1 Julka has 3 cents more than Hugo. Together they have 27 cents. How many cents has Julka and how many Hugo?

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