Equations practice problems - page 24 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: 4223
- Cleaners 81056
Four cleaners will clean the hotel in 15 hours. How long will they clean if, after 8 hours, one gets injured and leaves? - Younger 81047
In 2005, Petr was three times as old as Karel. In 2020, Karel was half his age younger than Petr. In which year was Peter born and in which Karel? - Together 81046
Two painters are painting the factory fence together. If everyone worked alone, the first would finish the job in 16 days, the second in 20 days. When will they finish the work together? - Apricots 81045
We paid a total of 85 crowns for the purchase of 2.5 kg of apricots and 1.5 kg of peaches. A kilogram of peaches is CZK 2 cheaper than a kilogram of apricots. How much CZK was paid for the apricots?
- Individual 81044
CZK 895 was paid for three ties. A blue tie was 18% more expensive than a gray one, and a brown one was CZK 100 more expensive than a gray one. Calculate the prices of individual ties. - Quadrilateral 81033
The foundations of a regular truncated quadrilateral pyramid are squares. The lengths of the sides differ by 6 dm. Body height is 7 dm. The body volume is 1813 dm³. Calculate the lengths of the edges of both bases. - Respondents 81024
Out of 32 people, 22 like fish. Four fewer people will enjoy the mushrooms. Those who eat mushrooms or fish are 7 times more than those who do not eat mushrooms or fish. How many of the respondents have fish and mushrooms? - Thanks 81022
Pavla is 2x older than Irena. Four years ago, Pavla was 6 times older than Irena was then. In how many years will the ages of Pavla and Irena be in the ratio of 4:3? Thanks - Everyone's 81021
There are 10 students in the drama club. We count everyone's age in whole years. The average age of the girls is 12.25 and the boys 12.5, and the average age of all is 12.3. How many girls and how many boys are there in the class?
- Possible 81020
The front of the cycling peloton travels at an average speed of 48 km/h. The cyclist with the green T-shirt lost 5 minutes when he fell. What speed must he drive if he wants to reach the front of the peloton in twenty minutes? Possible? - Double-digit 80970
Eva thought of two natural numbers. She first added these correctly, then subtracted them correctly. In both cases, she got a double-digit result. The product of the resulting two-digit numbers was 645. Which numbers did Eva think of? Please, what is this - Subtracting 80967
Martin thinks of a number. Subtracting two-thirds of it and adding the number 8 gives the number 40. What is the original number that martin was thinking of? - Visitors 80966
The second weekend saw 20% fewer visitors than the first. Over the two weekends, the number of visitors was 27,500. How many visitors came on the second weekend? - Participants 80965
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting?
- Five-minute 80951
Karel has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one. - Denominator 80875
Given a fraction whose denominator is 2 greater than its numerator. If we increase both the numerator and the denominator of this fraction by 7, we get the fraction 5/6. Which fraction is it? - Temperature 80864
You have water at a temperature of 10°C and boiling water at a temperature of 100°C. How do you prepare 9 liters of water at a temperature of 30°C? - Purchase 80850
Janka and Danka together paid €132 for the purchase. However, Jana paid five times more than Danka. How many euros did Janka pay, and how much did Danka pay? - Transported 80813
Three Tatras transported 22.2 tons of sand. The second Tatra transported 20% more than the first, and the third Tatra 25% more than the second. How much did each Tatra take?
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