System of equations - math word problems - page 42 of 110
Number of problems found: 2182
- Crayon set purchase
They bought 22 sets of crayons for the school group. Larger sets cost CZK 65, and smaller ones cost only CZK 50. They paid CZK 1,280 for all sets. How many individual types of crayon sets did they buy? - Juice price calculation
Ms. Parker bought 6 orange and 5 apple juices and paid a total of 254 CZK. Mrs. Davis bought 6 apple juice and 5 orange juice and paid CZK 2 less for them than Mrs. Parker. How much did each juice cost? - Mushroom picking
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? - Flower seedling purchase
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? - Employee bonus calculation
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? - Camp boy girl
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? - Paper collection calculation
In the eighth grade, the children gathered up 850 kg of paper. Class 8 A collected 50 kilograms more than 8B. Class 8 C collected 200% of what class 8 A 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? - School pupil distribution
588 pupils attend the school. There are 10% more girls than boys. How many boys and how many girls are there? - Earnings distribution calculation
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? - Sweets, candy
Grandfather gave out sweets to four children. At the last moment, two more children came, so to have them all the same, each of the four children had to give back four candies. How many candies did grandfather have in total? - Trapezoid - interior angles
In the trapezoid ABCD (AB II CD) is α = 57°, γ = 4β. Calculate the size of all interior angles. - Anniversary age calculation
Mr. and Mrs. Smith announce the celebration of their 190th anniversary - that's how many years they've been together this year. How old are Mr. Smith and Mrs. Smith if we know that Mr. Smith is nine years older than Mrs. Smith? - Wheat rye sowing
Mr. Vávra sows wheat and rye for a total of 28 ha. Rye sows two and a half times the area of wheat. How many ha sow wheat and how much rye? - Pears and oranges
There are three times as many pears as oranges. If a group of children receives five oranges each, no oranges will be left over. If the same group of children receives eight pears each, there will be 21 pears left over. How many children and oranges are t - Car meeting calculation
When and where will the two cars that drove at the same time from cities A and B 90 km apart if the car from city A travels at a speed of 75 km/h and the car from city B at a speed of 60 km/h meet? - Grade pupil distribution There are 59 pupils in the 9th grade. In 9 A, there are 15% more pupils than in 9B. In 9 C, there are 20% fewer than in 9B. How many pupils are in individual classes?
- Contestants The three best contestants will divide the total prize of CZK 4,200. The second gets 20% more than the third, and the first gets 200 CZK less than the second and third together. Thus, the total prize will be CZK 4,200.
- Together - parents Paul received half as much money from his parents as Peter and Milo half as much as Paul. How much did all the boys get together? The parents gave Milo CZK 1,350.
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