System of equations - practice for 14 year olds - page 13 of 61
Number of problems found: 1210
- 24carat gold
The goldsmith cast 22-carat gold and 14-carat gold and earned 20 dkg of 18-carat gold. How much gold did he use? - Fifteen-spruce 57291
A mighty gale broke the top of the fifteen-spruce spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken? - Powdered 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 one can of powdered milk? How much is one can of evaporated milk? - Four pieces
A 37-centimeter board is cut into four pieces. The first piece and the second piece are the same lengths. Similarly, the third and the fourth piece are the same lengths if the fourth piece is quadruple the difference between the first piece and 10 cm. Fin - Resulting 55991
The 180 cm long bar should be cut into two parts so that the longer part is 4 cm shorter than three times, the shorter part. Find the lengths of the resulting bar sections. - Apple collecting
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 means of what Luke and Tibor collected was - 144 steps
To get around the garden, we have to take 144 steps—eight steps less in width than in length. One step is five decimetres long. What are the dimensions of the garden? What are its perimeter and its area? - Nice two numbers
What two numbers do we give a sum of 30 difference of 24 products of 81 and a quotient of 9? - Children and horses
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
Anna stored a total of 126 books in three compartments of the library. There are six more books in the first compartment than in the second. The number of books in the second compartment is the arithmetic average of the number of books in the first and th - Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers. - Summands 54861
Can you divide the number 64.9 into three summands so that the first with the second is in the ratio 4:5 and the third with the first in the ratio 7:3? - Lucka
Lucka reads a thrilling novel about the holidays. If she read 16 pages daily instead of 14, she would read the book one day earlier. How many pages does the novel have in total? - Dimensions 3
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
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 foundation growth to be at least four times the amount - The sum 16
The sum of A and B is 36. The difference between A & B is 8. find the larger number of A. - Sum and product
The sum of the real numbers x and y is 12. Their difference is 8. What is the value of xy? - Length 9
The length of a rectangle is 8 meters smaller than twice of breadth. If the perimeter of the rectangle is 50, find its length and breadth. - Dimensions of rectangle
Find the dimensions of a rectangle, given that its perimeter is 110 cm. Its length is 1 cm, more than twice its width. - Three unknown numbers
The sum of the three numbers is 106. the first number is ten more than the third. The second number is 2x the third. What are the numbers?
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