# Algebra - math word problems

1. Louvers The company charges for office equipment louvers total 262 Eur. From the delivery bill is obvious that the louvers are 76 Eur expensive than their installation. What percentage of the total charged is the installation of louvers?
2. Raffle In the pool is numbers from 1 to 115. What is the probability that a randomly selected number is not a prime number?
3. Special cube Calculate the edge of cube, if its surface and its volume is numerically equal number.
4. Father and son Father is 48 years old, son 23. When will be the father twice older than a son?
5. Florist Florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses?
6. Bus stop Determine at what time the bus leaves from the bus stop outside the village, if you know that when you leave home at 8:00 and go at speed 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go speed at 4 km/h, you come to the
7. Walkers From points A and B simultaneously started against each other two walkers. After meeting both continue to B. Second walker came to B 2 hours before the first walker. It's speed is 2.7 times of speed of the first pedestrian. How many hours went pedestria
8. 3-bracket 2 May be the smallest angle in the triangle greater than 40°?
9. Landlord Landlord had 49 ducats more than Jurošík. How many ducats Jurošík steal landlord if the Jurošík now 5 ducats more?
10. Trousers In the class was 12 students. Nine students wearing trousers and turtleneck eight. How many students worn trousers with a turtleneck?
11. The hall The hall had a rectangular ground plan one dimension 20 m longer than the other. After rebuilding the length of the hall declined by 5 m and the width has increased by 10 m. Floor area increased by 300 m2. What were the original dimensions of the hall?
12. Fraction Fraction ? write as fraction a/b, a, b is integers numerator/denominator.
13. Copiers The new copier copying a folder of papers 5 min. faster than the old. The operator used new, but out of toner and exchange took 5 min. In that time copied on the old. The whole work has been done for 9 min. How long would the work done only by old copier?
14. Rectangle - sides What is the perimeter of a rectangle with area 266 cm2 if length of the shorter side is 5 cm shorter than the length of the longer side?
15. Homework - jumps Sasha jumped 121 cm Peter 4 cm more than Jirka. Jirka 6 cm less than Misha. Misha 7 cm less than Filip and Filip half as much Sasha and Petr together. How far each jumped?
16. Alloy The first alloy is a mixture of two metals in the ratio 1:2, the second is a mixture of same metals in the ratio 2:3. At what ratio we have these two alloys put into the furnace to obtain a new metal alloy with ratio 17:27? (All three ratios correspond to. Two fifth-graders teams competing in math competitions - in Mathematical Olympiad and Pytagoriade. Of the 33 students competed in at least one of the contest 22 students. Students who competed only in Pytagoriade was twice more than those who just competed
18. Logarithmic equation Solve equation: log33(3x + 21) = 0
19. Two workers Two workers make 138 parts/items. The first one produces 30% more than the second. How many items will each produce?
20. 7 triangle The triangle area is 26.7 cm2. Determine the side length l if appropriate height hl = 45.3 cm.

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