Reason + system of equations - practice problems - page 8 of 20
Number of problems found: 398
- Accommodation 7035
Fifty-nine pupils from the seventh grade of the primary school will go to the ski training course. They will live in three-bed and four-bed rooms at the mountain hut. The capacity of the hut will be filled entirely. The cottage has a total of 17 rooms rea - Younger 7033
Cyril was four times less than Dalibor 3 years ago. How many years will Cyril be 2x less if he is 3x younger now? - Downstream 7002
A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant. - Accommodated 6906
Tourists are accommodated in three hotels. There are eight more tourists in the second hotel than in the first. In the third hotel are 14 more than in the second. How many tourists stayed in each hotel if there were 258 in total? - Summands 6879
Divide the number 111 into three summands so that each is two larger than the previous one. - Supermarket 2
A supermarket had a buko pie sale. In the morning, they sold 2/3 of the pies, and in the afternoon, they sold 1/6 of the pies. If 150 pies were left, how many pies had been sold? Show your solution. - Animals
All without two animals are dogs, all without two are parrots, all without two are cats, and the others are chickens. How many animals of individual species does Ms. Novak take care of? - Square into three rectangles
Divide the square with a side length of 12 cm into three rectangles with the same circumference so that these circumferences are as small as possible. - Calculate 6729
Calculate the larger of the two numbers if the smaller number is the third of the larger number and their sum is 48. - Utopia Island
The probability of disease A on the island of Utopia is 40%. The probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women o - Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line. - Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70. - Language 6588
Two hundred fifty-five students of a certain high school know one other language in addition to English. Twenty-three more pupils mastered the German language than the Russian language. The French language is mastered by 37 fewer pupils than the German la - Rectangles
The perimeter of a rectangle is 90 m. Divide it into three rectangles. The shorter side has all three rectangles the same. Their longer sides are three consecutive natural numbers. What are the dimensions of each rectangle? - Vehicles 6582
Rudo has three times more cars than his friend Brano. When Rudo's younger brother Igorko took four vehicles for both of them, Rudo had five times more than Braňo. How many cars does Braň have now? - Pupils 6579
There are 169 pupils, 45 rooms, how many rooms are three beds and how many five beds? - Spending 6556
Romana, Pavol, and Ján were on vacation. Everyone paid some part of the cost. After the vacation, it was found that Romana spent Sk 19,000 for all three, Pavol Sk 7,000 for all three, and Ján Sk 4,000 for all three. How much money will each of them pay ea - Four numbers
The first number is 50% second. The second number is 40% third. The third number is 20% of the fourth. The sum is 396. What are the numbers? - Buns and toasts
Two buns weigh 10 grams more than two toasts. One Bun and two Toast weigh a total of 110 grams. How many grams weigh three toasts? How many grams does a Bun weigh? - Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, there will be two candies and eight empty boxes left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into
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