System of equations - 9th grade (14y) - math problems

Number of problems found: 616

  • Powdered milk
    milk A can of powdered milk and a can of evaporated milk cost $83.90 together. Two cans of evaporated milk and a can of powdered milk cost $118.05. How much is 1 can of powdered milk? How much is 1 can of evaporated milk?
  • Four pieces
    wood A 37 centimeter board is cut into four pieces the first piece and the second piece are the same length similarly the third and the fourth piece are the same length if the fourth piece is quadruple the difference of the first piece and 10 cm. Find the leng
  • Apple collecting
    jablka Luke, Peter and Tibor compared how many kilograms of apples they had collected. They found that the arithmetic mean of what Luke and Peter collected was 10 kg larger than Tibor's contribution, and the arithmetic mean of what Luke and Tibor collected was 3
  • 144 steps
    garden To get around the garden we have to take 144 steps. 8 steps less in width than in length. One step is 5 decimetres long. What are the dimensions of the garden? What is its perimeter and its area?
  • Nice two numbers
    plusminus What two numbers we give a sum of 30 difference of 24 products of 81 and a quotient of 9?
  • Children and horses
    kone_dzokej There are some children and horses in a field.  Together they have 39 heads and 122 feet. How many children are in the field and how many horses are in the field?
  • The library
    books Anna stored a total of 126 books in three compartments of the library. There are 6 books more in the first compartment than in the second one. The number of books in the second compartment is the arithmetic average of the number of books in the first and
  • Two numbers
    eq1 One number is by 79 larger than the other. If we divide the larger number by the smaller one, we get the ratio 5 and the remainder 11. Determine both numbers.
  • Dimensions 3
    rectangle A perimeter of a rectangular field is 96 meters. The length is four meters less than three times the width. Find the length and width (its dimensions).
  • The charity
    penize Amy will donate up to $460 to charity. The money will be divided between two charities: the city youth fund and the educational growth foundation. Amy would like the amount donated to the educational growth foundation to be at least four times the amount
  • The sum 16
    eq2_fx The sum of A and B is 36. The difference between A & B is 8. find the larger number of A.
  • The sum 15
    lines The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy?
  • Sum and product
    plusminus The sum of the real numbers x and y is 12. Their difference is 8. What is the value of xy?
  • Length 9
    rectangles Length of a rectangle is 8 m less than twice of breadth. If the perimeter of the rectangle is 50. find its length and breadth.
  • Dimensions of rectangle
    rectangles Find the dimensions of a rectangle given that its perimeter is 110 cm and its length is 1 cm more than twice its width.
  • Three unknown numbers
    eq2_fx The sum of of three numbers is 106. the first number is 10 more then the third. The second number is 2x the third. What are the numbers?
  • The sum 9
    numbers The sum of two integers is 4. Their difference is 8. What are this two integers?
  • The sum 8
    numbers2 The sum of two numbers is 21. If three times the smaller numbers is two less than twice the larger number, find the two numbers.
  • In the library
    books In the library at Lenape Elementary School, there are 2/5 as many fiction books as there are nonfiction books. There are 56 books in the school library. How many books are fiction books?
  • 6 plates
    coffee 6 plates and 5 cups cost 37.50 dollars. 7 plates and 6 cups 44.10 dollars. Each plate costs the same amount as the other cup. What is the cost of 1 plate? What is the cost of 1 cup?

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