System of equations - math word problems - page 32 of 98
Number of problems found: 1947
- 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? - Seedlings 21583
Mrs. Beránková bought flowers for spring planting. Begonias were CZK 35 each and geraniums CZK 48 each. She paid CZK 1,070 for 25 seedlings. How many begonia seedlings and how many nutmeg seedlings did she purchase? - Above-average 21533
The company has 1,440 employees (men and women). 18.75% of all men and 22.5% of all women received bonuses for above-average results. A total of 20% of employees were rewarded with bonuses. How many men and how many women are employed in the company? - Sixty-three 21513
Sixty-three children went to the camp. There are seven more boys than girls. How many boys went to the camp, and how many girls? - Even-handed 21293
In the eighth grade, the children gathered up 850 kg of paper. Class 8A collected 50 kilograms more than 8B. Class 8 C is even-handed in 200% of what class 8A is. How much paper did each class collect? - Working together
Two people will do the work in 12 days. They worked together for eight days. Then only one worked for ten days. How many days would each of them do the work if he worked alone? - Eighty-eight 21113
588 pupils attend the school. There are 10% more girls than boys. How many boys and how many girls go to school? - One-fifth 21003
John, Paul, Peter, and Jan earned 42 thousand. John and Paul have the same. Peter is 20% more than Paul. George was one-fifth less than Paul. How much did everyone earn? - An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle?
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