# Algebra - math word problems

1. Sales stores The first sales store passed the 1/3 and the second 2/5 of the total amount of goods.In third store passed the 2/3 rest of the goods. The remaining 40 kg of goods put into fourth store. How many kilograms of goods pass to a third store?
2. Unknown number Identify unknown number which 1/5 is 40 greater than one tenth of that number.
3. Pears Andrew, Lenka and Rasto have together 232 pears. Lenka has 28 more than Rasto and Rasto pears have 96 more than Andrew. Determine how much each of them has pears.
4. Hollow sphere The volume of the hollow ball is 3432 cm3. What is its internal radius when the wall thickness is 3 cm?
5. Fence Square garden has an area of 537 m2. How many meters netting is necessary to fence the garden?
6. Sides ratio Calculate the circumference of a triangle with area 84 cm2 if a:b:c = 10:17:21
7. Dividing money Thomas, Honza and Vasek are to divide 1220kč. Honza got 25% more than Thomas. Vasek 20% less than Thomas. How CZK each got?
8. Points on circle In the Cartesian coordinate system with the origin O is a sketched circle k /O; r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points that lie on the circle I / O; r=5 cm / and whose coordinates are i
9. School marks Boris has a total of 22 marks. Ones have 3 times less than threes. There are two twos. How many has ones and threes?
10. Square and rectangle Calculate the side of a square which content area equals area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square.
11. Father and son Father is 44 years old, his son 16 years. Determine how many years ago was the father five times older than the son. Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4)
13. Apples 2 How many apples were originally on the tree, if the first day fell one third, the second day quarter of the rest and on tree remained 45 apples?
14. Bottles Mrs. Violet brewed 15 l of raspberry juice. She poured it into 17 bottles. Some were 3/4 liter and some one liter. How many was bottles of this two types?
15. Car consumption The car has passed 988 kilometers and consumed 66 liters of petrol. What is the consumption per 100 kilometers?
16. Largest angle of the triangle What is the largest angle of the triangle if the second angle is 10° greater than twice the first and the third is 30° smaller than the second?
17. Grass Peter and Stano lawn grass for 3 hours 12 minutes. How long would it take to Peter if Stano lawn grass himself for 384 minutes.
18. Aunt Annie aunt is 35 years old, Annie is 14 years. For how many years will aunt have twice as many years as Annie?
19. Equations Solve following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44
20. Cakes Grandmother baked cakes. Half of its was poppy, quarter with plum jam and 16 cheesecakes. How many cakes she baked in total?

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