Fractions + system of equations - practice problems - page 5 of 9
Number of problems found: 163
- Value 4
If 5/18 of some number = 425, what is the value 13/18 of this number? - Two simple
Two simple fractions have the product of 3/10. When the smaller fraction is divided by the bigger fraction, the quotient is 5/6. What are the two fractions in simplest form? - Trees - orchard
The 3/5 trees are apple trees, and 1/3 of the trees are cherries. The remaining five trees are pear trees. How many trees are in the orchard? - Plastering 6132
Three masons received 44,100 SK for plastering the house. This amount was divided according to the number of hours worked. The first received three times as much as the second, and the second received half as much as the third. Determine in what gradual r
- The ratio 7
The ratio of the sides of two squares is 4:5 if the sum of their areas is 180 cm². Find the sides of the two squares. - Potatoes 6
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes, in the second hour, he sold five-sixth of the remaining potatoes, and in the third hour, he had sold the last 40kg of potatoes. How many kilograms of potatoe - Pre-stocking 74604
They delivered potatoes, cabbage, and carrots to the vegetable shop for winter pre-stocking. 2/7 of the total amount is carrots, 1/3 is cabbage, and the rest is potatoes. Carrots are 10 kg less than cabbage. How many kilograms of potatoes do they have in - 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? - Three-quarters 25931
Jarek went strawberry picking for a day. In the morning, he collected two-fifths of the required amount; in the afternoon, he collected 5 kg less than in the morning. In total, he collected three-quarters of the required amount. How many kilograms of stra
- 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 - Tickets 7
Tickets to a concert cost $2 for children, $3 for teenagers, and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Compared to the number of children in attendance, three-fourths as many teenagers attended. How man - Adam
Adam has half more money in his right pocket than in his left pocket. If he transferred 40 crowns from the left pocket to the right, he would have the same in both pockets. Calculate how many crowns Adam has in his left pocket more than in his right. How - Ratio of two unknown numbers
Two numbers are hidden. Their sum is 30. We calculate one-sixth of a larger number and add to both numbers. So we get new numbers whose ratio is 5:7. Which two numbers is it? - Collecting 3306
Four friends received money for collecting paper as follows: Mirko received a quarter of the total amount, Robo received a third of the rest of the money, and Boris received half of the money left by Mirko and Robo. Peter has 16 euros left. How many euros
- Collection 13863
Vendelín has 4/5 the number of colored pencils. But if Maruška took 1/2 of it, there would be 20 crayons left. How many crayons were still in the penalty before Vendelín's collection? - Divisors 7779
Two numbers are guessing. The second number is five times greater than the first number, and the square of the first number is equal to 3/5 of the second number. Find the sum of the two numbers and all its divisors. - Together 7606
Jana and Dana have saved 220 crowns together. Jana spent a fifth of her savings, Dana a quarter. Then they had a total of CZK 150 left. How much have they saved? - Cycling 4482
Cycling races had 4 stages. The length of the first was 1/3 of the length of the entire track. The length of the second stage was 2/9 of the length of the entire track, and the length of the third stage was 1/4 of the track. The fourth stage was 15 km sho - Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line.
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