System of equations - practice for 14 year olds - page 12 of 65
Number of problems found: 1285
- Enlarged 63034
Divide 130 nuts into two parts so that the smaller part enlarged four times equals the larger part reduced three times. How many nuts are in the smaller pile? - Two-fifths 63014
We divided a certain amount of money between three people so that the first got two-fifths of what the second and third combined. The second got twice as much as the first. If the third received €750 less than the first, how much did each receive? - Conservationists 62994
Conservationists planted a total of 695 trees of three species. There were 65 spruces more than pine trees and the first three times less than pines. How many trees of each species were planted? - Father and son
A father's age is five years more than four times his son's age. In 5 years, he will be three times his son's age then. How old is the son now?
- Loaves 62663
They sold 452 loaves of bread in the store. They sold three times more black bread than white bread. How much white and black bread did they sell in the store? - Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers. - Average age
There are 20 students in the class. Several are 12 years old, and others are 13 years old. Find out how old is twelve when the average age of a class is: a) 12.5 years b) 12.75 years c) 12.3 years d) 12.35 years - Fifty-koruna 62454
Kryštof has 1,500 kroner in ten and 50 kroner coins in his piggy bank. There are five times as many ten-koruna coins as fifty-koruna coins. How many ten-crown coins does Kryštof have in his piggy bank? - Colored balls
There are colored balls in the bag. One-third of them are blue, one-sixth are green, five-twelfths are yellow, and the remaining ten balls are red. How many yellow balls are in the bag?
- Banknotes 62164
Lucas saved 120 banknotes. They were 5 and 10 euro banknotes. He found that he had saved € 820. How many banknotes were there? - Superstar 62054
Jana, Petra, and Andrea sent an SMS to Superstar. The number of messages they sent was in the ratio 4:3:2, with Andrea sending 35 fewer text messages than Jan and Peter combined. How many text messages did all 3 girls send together? - Apples
60% of first-quality apples were picked in the upper orchard, and 90% of first-quality apples were in the lower orchard. How many% of the first quality were achieved in total if the total harvest was 240 tons of apples and in the lower orchard, the harves - Collected 61474
Three students collected a total of 32 kg of paper. The second student collected three times more paper than the first student, and the third student collected 2 kg more than the first student. How many kilograms of paper did each of them collect? - Money spending
Albert and Peter have an amount of money. If Albert spent $6 and Peter did not spend any, then the ratio of Albert's money to Peter's money is 1:3 . If Peter spent $6 and Albert did not spend any, the ratio of Albert's money to Peter's money is 3:7.How mu
- Dividing rod
The 3m long rod should be divided into two parts so that one is 16cm longer than the other. Find the lengths of both parts. - 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. - Peter and Martin
Peter and Martin played by 67 balls. After the game, Peter had nine more balls than Martin. How many balls did Martin win? Solve the help of the equation. - Meadow 60683
Sheep and geese graze in the meadow. They have a total of 20 heads and 64 legs. How many sheep are in the field, and how many geese? - Brian 2
Brian and Jake left their homes 500 miles apart and drove straight toward each other. It took 4 hours for the two to meet if Jake's speed was 15 mph slower than Brian's. What was Brian's speed?
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