Equation + system of equations - practice problems - last page
Number of problems found: 1396
- R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
- Tippler
Bottle with cork cost 8.8 Eur. The bottle is 0.8 euros more expensive than the cork. How much are a bottle and the cork?
- Function
For linear function f(x) = ax + b is f(19)=141; f(20)=168. Calculate m, if f(m) = 2018.
- Pumps
The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than the second one. How many minutes is filled with the first pump?
- Euler problem
Someone buys 300 tolars towels. If it were for the same money of 5 more towels, it would be 5 tolars cheaper each. How many towels were there?
- Rectangle SS
The perimeter of a rectangle is 154 dm, and its diagonal is 62.36 dm. Find the dimensions of the rectangle.
- Chestnuts
Neil has 5-times chestnuts less than Adrian. Together they have 894 chestnuts. How many chestnuts have Neil and Adrian?
- Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
- Golden ratio
Divide the line of length 871 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line.
- The cyclist
The cyclist went from village to town. The first half of the journey went at 24 km/h. The second half of the journey, which mostly fell, went at 38 km/h. All journeys took 94 minutes. Calculate the distance from the village to the town.
- Father and son
Father and son are 74 years old together. The son is 30 years younger than the father. How old is the son?
- Ladislav in Amsterdam
Laco went (was sent) to a conference in Amsterdam for a reward. The conference fee was € 1702. Calculate how many books Ladislav could buy at the price of 30 and 28 euros if he doesn't want to fill the whole home library, and he can buy only 59 books
- Number ratio
Calculate two positive numbers. Its ratio is 6:18, and difference was 372.
- Chickens and rabbits
In the yard were chickens and rabbits. Together they had 30 heads and 100 legs. How many chickens and how many rabbits were in the yard?
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