Equations practice problems - page 71 of 212
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4228
- Kilometers 30021
The first group of tourists left the hut at 8:00 AM at a speed of 4 km/h. The second group of tourists followed them half an hour later, at a speed of 6 km/h. How long and how many kilometers from the cottage will it catch up with the first group? - Production 29901
Calculate how many people are in production, if there are 1/5 workers on the morning shift, the afternoon shift has 3/10, and 50 people will join the night shift. - Three-kilo 29811
A four-kilo turkey is 70 CZK more expensive than a three-kilo turkey. How much is a turkey weighing 2.5 kg? - Consecutive 29761
Determine three consecutive natural numbers, the sum of which is 66.
- Father and son
When I was eight years old, my father was 30 years old. Today, my father is three times more than me. How old am I? - Worker salary
The worker had a salary of CZK 18,000. During the year, his salary was increased by a quarter. He earned a total of CZK 247,500 for the whole year. From which month was his salary increased? - Soccer balls
Pupils in one class want to buy two soccer balls together. If each of them brings 12.50 euros, they will miss 100 euros; if each brings 16 euros, they will remain 12 euros. How many students are in the class? - Powerful 29651
The first machine can sow a field in 12 hours. The second, more powerful machine in 8 hours. How many hours was the field sown if workers deployed both machines, but the second machine started working 2 hours later than the first machine? - Journey to spa
Mr. Dvorak took his wife to the spa, and the journey took 3.5 hours. On the way back, he drove 12 km/h faster and was home in 3 hours. At what speed did he go to the spa, and at what speed did he return?
- Reading
If I read 15 pages a day, I will read the whole book in 18 days. How long will it take to read a book if I only read nine pages every day? - Brothers 29471
The two brothers are 41 years old. One is seven years older than the other. How old is your younger brother? - Inhabitants 29451
480 people live in the village of grandmother. There are seven times fewer blue-eyed people than people with different eye colors. How many inhabitants of the village are blue-eyed? - Three-quarters 29441
Peter bought a calculator. He saved three-quarters of its price himself, and half of the remaining amount was given to him by his grandfather. He still lacked 7 euros, which he borrowed from his brother. How much did the calculator cost? - Rediscounted 29431
At the beginning of the season, roller skates became 15% more expensive. In the autumn, they were rediscounted by 15% of the new price. Their price after the price increase and discount was € 195.50. What was their original price?
- Sum of seven
The sum of seven consecutive odd natural numbers is 119. Determine the smallest of them. - When I
When I am as old as my older brother is today, my brother will be twice as old as I am today. a) How old is my brother if I am 8 years old today? b) How old am I if my brother is 21 today? - Students
Students solve word problems. They received 3 points for each correctly solved task. Four points were deducted for a task that was not solved or incorrectly solved. Tomas solved a total of 15 tasks and scored 24 points. How many tasks did he solve correct - Diggers
Eight diggers will do the job in 85 hours. After 21 hours, three diggers had to leave. How many hours will the work be done? - The leaves
Karel raked the leaves in the garden alone in 24 minutes, and his younger brother took 30 minutes. How long would they dig a garden if Karel digs alone for 6 minutes and his brother comes to his aid?
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