Reason + system of equations - practice problems - page 5 of 20
Number of problems found: 398
- Christmas or Easter
Please calculate this example by the Venn equation. They asked 73 students whether they liked Christmas or Easter. Thirty-four of them like one of the holidays. 39 loves Easter. There are twice as many students who wish for both holidays as those who only - Students
If the fifth-grade class left 20% of students and in the seventh grade were added two pupils, in the eighth one pupil, the number has not changed in the ninth grade, but it is now tenth students less than it was in the fifth grade. How many pupils are in - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - Flowerbed
We enlarged the circular flower bed, so its radius increased by 3 m. The substrate consumption per enlarged flower bed was (at the same layer height as before magnification) nine times greater than before. Determine the original flowerbed radius. - Reduction 11701
Fourteen pieces of goods cost just as much as 21 pieces before the discount. The price of one piece after the discount is CZK 1.50 lower than before the price reduction. How much was one piece before the discount? - Pozdechodim 11611
Mr. Pozdechodim was hit by a bus at 10.05. V10.10 drove around Jindra. The bus runs at an average speed of 60km/h, and Jindra at 80km/h. The bus still 20 km away is 1 km away. - Ostriches 11421
The ZOO has the same number of zebras as ostriches. They have a total of 84 legs. How many zebras and how many ostriches do they have at the ZOO? - The escalator
I run up the escalator at a constant speed in the stairs' direction and write down the number of steps A we climbed. Then we turned around, ran it at the same constant speed in the opposite direction, and wrote down the number of steps B that I climbed. I - Glasses
There are 36 pupils in the class. Nine girls wear glasses. Boys with glasses are five less than girls without glasses. Boys without glasses are two times more than girls without glasses. How many boys and how many girls? - Dividing money
Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice more than Edita. Edita got 400kc less than Vilem. How much did each of them earn? - Brothers and sister
I have four brothers. My mother was 22 years old when the oldest, Matthew, was born. Vlado is a year younger than him. There is a 3-year difference between Vlad and Ivan. Three years before Ivan was born, Hugo and he is two years older than me. I am now 1 - Subtract 10001
For five whole numbers, if we add one to the first, multiply the second by the second, subtract three from the third, multiply the fourth by four, and divide the fifth by five, we get the same result each time. Find all five of the numbers that add up to - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - The devils
The devils weighed in hell with Dorota. They found that Dorota and the two devils weigh 250 kg together, and Dorota and the four devils weigh 426 kg. All the devils weigh the same. How Much Does Dorota Weigh? - Complaining 9611
Ondra, Matěj, and Kuba are returning from collecting nuts. They have a total of 120. Matěj complains that Ondra has the most as always. The father orders Ondra to sprinkle it on his Matěj so that the number of nuts doubles. Now Cuba is complaining that he - Grandmother 9451
Petr and Honza received 315 CZK from their grandmother. Petr Dostál a third more than Honza. How many crowns did each of them have? - Matemakak 9432
The cookbook by Matěj Matemakak says: The greatest common divisor of flour weight and sugar weight is 15, the greatest common divisor of sugar weight and lemon peel weight is 6, the product of sugar weight and lemon peel weight is 1800, and the smallest c - Time passing
Six years ago, Marcela's mother was two times older than her and two times younger than her father. When Marcela is 36, she will be twice as young as her father. How old are Marcela, her father, and her mother now? - Long bridge
Roman walked on the bridge. When he heard the whistle, he turned and saw Kamil running at the beginning of the bridge. They would meet in the middle of the bridge if he went to him. Roman rushed and did not want to waste time returning 150m. He continued - Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. A n
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