System of equations + reason - practice problems - page 9 of 20
Number of problems found: 398
- English-German 6443
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Pupils 6434
There are 25 pupils in every 5th class in the class, 18% of boys and 23% of girls. How many boys are in the class, and how many girls are there? - Accommodated 6380
The hotel has single and double rooms. There are 7 more single rooms than double rooms. How many people are accommodated in double rooms if the hotel is fully booked and has a capacity of 100 people? - Children 6377
There are 29 children in the class. The number of children enrolled in front of Ema is six less than behind her. How old is Ema? - Beginning 6334
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning? - Children 6303
A total of 56 children went on a trip to the pupils of the two fourth grades. That 4A was four pupils more than 4. B How many pupils from each class went on a trip? - Kilograms 6297
If Adam and Boris weigh a total of 75 kg, Boris and Cyril weigh a total of 83 kilograms, and Cyril and Dano weigh a total of 92 kg, how many kilograms do Adam and Dano weigh together? - Soaps
Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes, there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the sma - Three-liter 6204
We have to store seven cans of oil of 25 liters each in 45 cans, some of which are five liters and some three liters. How many three-liter cans and how many five-liter cans do we have? - Yellows 6118
Peter chose balls of two colors. The numbers of yellows and reds were in the ratio of 7:5, and the yellows were six more. How many did he have? - Equilateral triangle
A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side. - Siblings 5964
Zuzka, Karin and Samko are siblings. Zuzka is 9 times older than Samko. Karin is nine years younger than Zuzka. How old is anyone if they are all under the age of 20? - Establishes 5921
The boy establishes collections of spiders and beetles. So far, he has only a total of 8. When asked how many beetles he has, he replied: "My entire collection has 54 legs. "How many spiders and how many beetles? - Different 5874
Mišo and Rišo ran back and forth on the running track. They started towards each other, each from a different end of the track. Both were still running at the same speed, each at a different speed. The first time, they met 800 m from one end of the track, - Branches 5825
Parrots, a few of them flew around and sat down anyway. 3 on the dog's back. There are 29 parrots. There were 9 more sitting than flying. 6 more sat on the branches than on the grass. How many parrots were still flying? How many were sitting on the branch - Disassembled 5815
The children disassembled 48 bananas on the trip. Some children took 1 banana each, 6 children took 2 bananas each, and last, Anina was the only one who did not take even 1 banana. How many children were on the trip? - Tractors
Two tractors plow the field for 4 hours together. If the first tractor plowed half of the field and then the second tractor completed the job, it would take 9 hours. How many hours does the field plow for each tractor separately? - Fifty-six 5763
Fifty-six pupils attend the eighth grade of primary school. There are 18 more boys than girls. How many boys and girls are in the eighth grade of primary school? - Christmas 5740
When the mothers sat down on the benches at the Christmas gazebo, only one mother sat on the last bench. When the six of them sat down, one mother remained standing. How many mothers were there on the gazebo, and how many benches could they sit on? - Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number?
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