# Basic functions - math word problems

1. The price The price of the land increased by 17%. What was the original price of the land if it now costs 46800 €?
2. Zdeněk Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk's water he picked.
3. Meat loses Meat loses 18% of its weight by smoking. How much raw meat butcher used to manufacture 35 kilos of smoked?
4. Cylinder-shaped vase If the cylinder-shaped vase is filled with water up to 35 cm, it contains 1 liter of water. How much water will it contain if it is filled to a height of 45cm?
5. Five pumps The water tank is filled with two pumps in 48 minutes. How long would it take to fill it with 5 same pumps?
6. Trapezoid - intersection of diagonals In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate trapezoid area.
7. Subsets How many 19 element's subsets can be made from the 26 element set?
8. Fractions Three-quarters of an unknown number are 4/5. What is 5/6 of this unknown number?
9. Toilets A federal law requires that all residential toilets sold in the United States use no more than 1 3/5 gallons of water per flush. Prior to this legislation, conventional toilets used 3 2/5 gallons of water per flush. Find the amount of water saved in one y
10. Twelve Twelve students work on a week forestry brigade. One hundred spruces will receive x CZK, one hundred pine y CZK. How many receive each one students did in one day if they planted a total of 25,000 spruces per week and 30,000 pine trees? Express by express
11. Rectangle area The length of a rectangle of x units is increased by 10% and its width of y units is increased by 15%. What is the ratio of the area of the old rectangle to the area if the new rectangle?
12. Cinema tickets Cinema sold 180 tickets this Thursday, which is 20%. Monday 14%, Tuesday 6%, Wednesday 9%, Friday 24%, Saturday 12%, and Sunday 15%. How many tickets were sold per week?
13. Water tank A 288 hectoliter of water was poured into the tank with dimensions 12 m and 6 m bottom and 2 m depth. What part of the volume of the tank water occupied? Calculate the surface of tank wetted with water.
14. Mixture 2 How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution?
15. Babysitting The amount that Susan charges per hour for babysitting are directly proportional to the number of children she is watching. She charges \$4.50 for 3 kids. How much would she charge to babysit 5 kids?
16. Cylindrical container An open-topped cylindrical container has a volume of V = 3140 cm3. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container.
17. Steps Peter walked a distance of 60 m 102 steps. How many steps must he take to walk 150 m?
18. Scale of the map The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map?
19. The coil How many ropes (the diameter 8 mm) fit on the coil (threads are wrapped close together) The coil has dimension: the inner diameter 400mm, the outside diameter 800mm and the length of the coil is 470mm
20. Flour Kim needs 3/4 cup of flour to make 12 cookies. How much flour would she need to make 60 cookies?

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