System of equations - high school - practice problems - page 14 of 44
Number of problems found: 878
- Magnitudes 24271
In the ABC triangle, the magnitude of the inner angle beta is one-third the magnitude of the angle alpha and 20 ° larger than the magnitude of the gamma angle. Determine the magnitudes of the interior angles of this triangle. - Caramels 24131
Anička and Jana shared 21 caramels, while Jana had 40% of what Anička received. How many caramels did she get? - Forty-eight 24101
Forty-eight people were present at the reception. Among them were Czechs, Slovaks, and Germans. Slovaks were 4 more than Czechs and Germans 6 less than half Czechs and Slovaks. How many Czechs, Slovaks, and Germans were there at the reception? - Improvement 23971
Three employees received a reward of CZK 5,000 for the improvement proposal. They divided the money according to work so that the first got twice as much as the second, and the second got three times as much as the third. How many crowns did each person r
- 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 - Transported 23301
The material, which weighed 18.2 tons, was transported by three cars. The second drove 20% more than the first and the third 20% more than the second. How many tons did one car transport? - 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 - 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 - 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?
- 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? - 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? - 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? - 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? - Trapezoid 20873
In the trapezoid ABCD (AB II CD) is α = 57 °, γ = 4β. Calculate the size of all interior angles.
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