System of equations - math word problems - page 32 of 98
Number of problems found: 1955
- Together 23211
Lenka is three times younger than her brother Lukas; they are 20 years old. How old is Lenka, and how many are Lukas? - Classes 23161
There are a total of 56 pupils in three classes in the rural school. In the second grade, there are 20% fewer pupils than in the first grade, and in the third grade, there are 25% more pupils than in the second grade. How many pupils are there in each cla - Academy 23151
There are 180 pupils in the 1st year of the academy. There are seven girls for every five boys. How many girls are there in the year? - Chocolate and biscuit
Chocolate is twice as expensive as a biscuit. It costs CZK 8 more. How much is chocolate, and how much is a biscuit?
- The four
The four pirates divided 65 coins into each other. They were sorted by age, the youngest receiving the least number of coins, each half more than the previous one. How many coins did the oldest pirate receive? - In a
In a triangle, the aspect ratio a: c is 3: 2, and a: b is 5: 4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides. - Students
Students Aleš, Bohouš, Cyril, and Dušan were on a brigade. They divided the total revenue as follows: Aleš received two-fifths of the revenue. Bohouš received one-sixth of the revenue. Cyril received three-tenths of the revenue. Dušan received the rest of - Kilometers 22721
Pupils walked 49 km in three days. The next day they ran 20% more than the first day, and on the third day, they ran 2 km less than the second. How many kilometers have they traveled each day? - The dealer
The dealer planned to sell 40% of the cars he had in stock in May. However, he sold 20 fewer cars, i.e., only 15% of cars. a) How many cars did he have in stock? b) How many cars did he sell in May?
- There 22691
There were hens and hares in the yard. They had a total of 20 heads and 56 legs. How many hens and how many hares? - According 22563
Three workers received a reward of CZK 12,600 for their joint work. They divided the money according to the work done. The first received 20% less than the second, and the third received 50% more than the first. How much did each of them get? - Co-workers 22553
Three co-workers earned a total of CZK 4,720 for repair work. They split so that the first got 20% more than the second and the third got 50% more than the second. How much did everyone get? - Slovakia-Sweden 22453
Our reporter at the Hockey World Cup during the Slovakia-Sweden match said we were in a two-goal deficit at the beginning of the third period. What was the state of the match when both teams had scored a total of 4 goals by then? - Employees 22433
The company has 250 employees. There are 30 more men than women. How many men work in the company, and how many women?
- Workforce 22353
Three times more women than men work in the beet field. Eight men and 8 women load beets. The rest of the workforce, in which there are five times more women than men, cuts beets. How many men and how many women work in the fields? - Circumference 22243
The circumference of the first wheel is 0.5 m larger than the circumference of the second wheel. The first wheel turns on the 36 m track as many times as the second on the 30 m track. Determine the rims of both wheels. - Individual 21713
They bought 22 sets of crayons for the school group. Larger sets cost CZK 65, smaller ones only CZK 50. They paid CZK 1,280 for all sets. How many individual types of crayon sets did they buy? - Součková 21673
Ms. Součková bought 6 orange and 5 apple juices and paid a total of 254 CZK. Mrs. Derner bought 6 apple juice and 5 orange juice and paid CZK 2 less for them than Mrs. Součková. How much did each juice cost? - Mushrooms 21653
Martin went mushroom picking for three days. On the first day, he collected seven less than the third day, and on the second day, he collected eight more than the third day. Martin collected a total of 79 mushrooms. How much did he collect each day?
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