# Algebra - math word problems

1. Contract 8 employees complete the contract for 65 hours. After 17 hours, 3 employees had to leave for another job. How many more hours will the job on contract be fulfilled?
2. Water colors Painting workshop attend 10 students. Eight students painted water colors and nine painted with tempera colors. How many students painted water colors and tempera at the same time?
3. Workers 9 workers dig a canal 120 meters long for eight hours. For how long would be dig five workers canal 200 meters long?
4. Candies The price for 1 kg of more expensive candies is 125 CZK. The price for 1 kg of cheaper candy is 100 CZK. We mix two different mixtures of candy. A) The first mixture contains 2 kg more expensive and 0.5 kg cheaper candy. Calculate the price for 1 kg of t
5. Price saleoff Shoes standing y euros. At first they were discounted by 12% and then 50% of the new amount. After this double cheapening the cost was exactly 22 euros. Determine the original price of shoes.
6. Alcohol mixture Three liters of 96 percent alcohol we set up a certain amount of distilled water to form a 54-percent alcohol. How many liters of distilled water were used?
7. Tailor master There are less than 50m of textile in the tailoring workshop. When cutting on a blouse (consumption 1.5m), no textile is left. When using a cloth (consumption of 3.2m), no textile is left. How many meters of textile are in a tailor's workshop?
8. Two trains There are two trains running the same distance. 1st train will travel it in 7 hours 21minutes. 2nd the train will travel 5 hours 57minutes and 34 seconds and it is 14 km/h faster than the first train. What are speeds of trains and how long is this railway
9. Italian writer There were 17 children in the barracks with an Italian writer. 6 children ordered a book in an Italian original and 12 children in the translation. How many children ordered a book in both languages if the three children did not order it?
10. Unknown amount of money Damian and Denis split an unknown amount in the ratio of 5:4 . Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money got Damian and how Denis.
11. Comparing salaries Spouses compared salaries. Mrs. Janka found that a 20% higher salary than Mr Jaroslav. Together earned € 1,430. How much they earn each of them?
12. Wall diagonal Calculate the length of wall diagonal of the cube whose surface is 384 cm square.
13. PC disks Peter has 45 disks in three colors. One-fifth of the disks are blue, red are twice more than the white. How much is blue, red and white disks?
14. Probably member Look at the series 2,6,25,96,285, ? What number should come next?
15. Unknown number Determine the unknown number, which double of its fourth square is equal the fifth its square.
16. Vacation Tomas spent 60% of his savings for his weekly vacation. He was 32 € left. How many euros did he have before vacation?
17. Combinations From how many elements we can create 990 combinations 2nd class without repeating?
18. Equation algebraogram Solve the equation: oco + ivo = cita How much has the task of solutions?
19. Rhombus If we increase the rhombus side by 2.4 cm; its perimeter is 20 cm. How long was the side of the rhombus?
20. Square s3 Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.

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