Equations practice problems - page 63 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
- Together m+d
Aunt Jane would paint her apartment in 10 hours, her mother in 15 hours. How much do they paint it together? - Perpendicular 40203
In a right triangle, one perpendicular is 5 cm longer than the other perpendicular. The diaphragm is 150 mm. Calculate the lengths of the hangings. - Antelope 40121
The antelope was 100 m away from the cheetah. The moment the cheetah started running, antelope took off running. The cheetah ran at an average speed of 1200 m per minute, and the antelope 700 m per min. In how many seconds was the cheetah able to catch up - Graduates 40111
As many as 62.5% of residents at the business academy graduated with honors. How many high school graduates were there if 30 students graduated with honors?
- The encore
The rock band had a 15-minute encore at their concert, which accounted for 12% of the total length of the concert. What was the total length of the concert? - Assistant 39951
The worker performs the repair work in 20 days, and his assistant does the job himself in 60 days. How many days would they work together? - Simultaneously 39941
The reservoir is filled with a large pump in 20 hours, a medium in 24 hours, and a small one in 30 hours. How many hours will it be filled if all pumps are switched on simultaneously? - Kilograms 39911
In a luxury praline factory, they prepared 3.2 kg of a mixture of two types of candies for CZK 273 per 1 kg. Marzipan candies cost 345 CZK/kg and nougat 255 CZK/kg. How many kilograms of each type of candy were used? - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
- Two-fifths 39881
Jarmila bought a book for two-fifths of her money, leaving her with CZK 75. a) How much CZK did Jarmila initially have? b) How much did the book cost? - Five-twelfths 39871
Five-twelfths of the students in the class learn English, a third learn German, a sixth learn French, and two students learn Russian. How many students are in the class, and how many languages are they learning? - Installments 39841
I received 30 euros in 7 installments, each installment being in whole euros. How many ways could this happen? What if the installments can be even 0 euros? How many possible solutions will there be? - Together 39671
Three workers were to lay the parquet floor. If everyone worked alone, the first would finish the job in 30 hours, the second in 24 hours, and the third in 20 hours. How long will they do the floor if they work together? - Unknown number
If we subtract three from the unknown number, we get just as much as if we subtract seven from the unknown number and we multiplied the result by 2.
- Replied: 39523
Dalibor asks Ondra: 'Ondra, how many crowns do you have?' Ondra replied: "If I added another CZK 200 to my money, I would have six times more than now." How many crowns does Ondra have? - Determine 39503
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle. - Woodcutter 39491
A bark beetle attacked part of the forest. The first woodcutter would need ten shifts to clear the forest, the second 6 shifts, and the third five shifts. Calculate how many shifts the forest will take if they work together. - Tourists
Tourists hire a guide. Everyone will pay the same amount. If there are two fewer of them, they will pay 14 crowns more, and if there are three more, they will pay 14 crowns less. How many tourists are there and how much have the guides paid? - Transport 39383
The online store offers free shipping when you buy five or more products. The price of transport is 100 crowns. When you buy five products without shipping, we pay the same amount as when you buy three products with shipping included. How much does 1 piec
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