# Algebra - math word problems

1. Chamber
In the chamber light is broken and all from it must be taken at random. Socks have four different colors. If you want to be sure of pulling at least two white socks, we have to bring them out 28 from the chamber. In order to have such certainty for the pa
2. Children
Margaret and Zdena weighs the same and Petra 3 kg more. Together weigh 156 kg. How much does they weigh?
3. Birds
On the farm they have a total of 110 birds. Geese and turkeys together is 47. Hens is three times more than the turkey. How much is poultry by species?
4. Alfa, beta, gama
In the triangle ABC is the size of the internal angle BETA 8 degrees larger than the size of the internal angle ALFA and size of the internal angle GAMA is twice the size of the angle BETA. Determine the size of the interior angles of the triangle ABC.
5. Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge, if you know that the prism volume is 2187 cm3.
6. Cube 8
The surface of the cube is 0.54 m2. Calculate the length of the cube edge.
7. Competition
The organizers of competion wanted to spent big amount of money to pay for the competitors. One third of this amount spent on prizes and the remaining € 5,000 to diplomas. How much was committed for rewards?
8. Property
The length of the rectangle-shaped property is 8 meters less than three times of the width. If we increase the width 5% of a length and lendth reduce by 14% of the width it will increase the property perimeter by 13 meters. How much will the property cos
9. Trip
On the trip drank 3/10 of pupils tea, 2/5 cola, 1/4 mineral water and remaining 3 juice. How many students were on the trip?
On the meadow grazing horses, cows and sheep, together less than 200. If cows were 45 times more, horses 60 times more and sheep 35 times more than there are now, their numbers would equall. How many horses, cows and sheep are on the meadow together?
11. Pupils
Two classes to collect money. Boys are four sevenths pupils. In time did not pay a quarter of the boys and a sixth of girls, which together mean 12 sinners. How many pupils attend this two classes ?
12. Classroom
In a classroom are 30 students, boys are four times more than girls. How many boys are in the class?
13. The port
Four ships Berthed in the port. Together sail from a port. The first ship will return to port every two weeks, second ship after 4 weeks, third after 8 weeks and fourth ship after 12 weeks. After how many weeks all the boats gather at the port?
14. Ships
Red ship begins its circuit every 30 minutes. Blue boat begins its circuit every 45 minutes. Both ships begin their sightseeing circuit in the same place at the same time always at 10:00 o'clock. a / What time does meet boat again? b / How many times a d
15. Sweets
3 chocolate and 7 cakes cost 85, - CZK. 2 chocolates and 6 cakes cost 86, - CZK. How much is 5 chocolates and 9 cakes? I wonder how to get the result, but only by logic without the use of a system of equations
16. Bicycle wheels
Driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth?
17. Garden
The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m2. Calculate the dimensions of the garden.