# Basic functions - math word problems

1. Equation with fractions Solve equation: ? It is equation with fractions.
2. Pocket Mirka spent on a trip for gifts half pocket. For the third remain money bought a bagel. Six euros left her. How many euros had Mirka in pocket?
3. Sheep Shepherd tending the sheep. Tourists asked him how much they have. The shepherd said, "there are fewer than 500. If I them lined up in 4-row 3 remain. If in 5-row 4 remain. If in 6-row 5 remain. But I can form 7-row." How many sheep have herdsman?
4. Similarity Rectangle ABCD has dimensions of 7 cm and 6 cm. Rectangle PQRS has dimensions 14 cm and 12 cm. Determine coefficient of the similarity k of the rectangles, if they aren't similar enter zero as the coefficient of similarity.
5. Church roof The roof of the church tower has the shape of a regular tetrahedral pyramid with base edge length 5.4 meters and a height 5 m. It was found that needs to be corrected 27% covering of the roof area. What amount of material will be required?
6. Aircraft Flight length 3457 km took 5 hours. The airport passengers had to arrive hours in advance, 2 hours. Departure was delayed for 6.4 hours. The destination airport formalities took 0.4 hours. Calculate the average speed of passenger travel from arrival to le
7. Hop-garden The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 30%. What is the percentage change in area of hop garden?
8. Window Peter demolish box hole in the wall for window frame 147×51 cm. When they came masters fitted frame and window will be found that glass is 13.3 cm from the hole in each direction. Calculate how much percent less light enters the window than hole?
9. Ratio three numbers Three numbers SUV are in the ratio 1:2:3. Their sum is 24. Find this numbers and write their add and sum.
10. Vinegar What percentage vinegar we get if we mix 1 if dm³ eight percent vinegar with 1.5 dm³ six percent vinegar?
11. Troops - soldiers Food stocks will last 20 soldiers of the 4-day training. How many days they could extend training if four soldiers become sick?
12. Car range Kia has an average gasoline consumption of 7.1 liters per 100 kilometers. What is the range of the car for 95 euros if fuel costs 1.6 EUR / liter, if the tank has a volume of 72 liters?
13. Coffee Coffee from the machine in the cup cost 28 cents. Coffee is 20 cents more expensive than the cup. How much is the cup?
14. Simple interest 4 Find the simple interest if 5243 USD at 4.3% for 261 days. Assume a 361-day year.
15. Digits A, B, C For the various digits A, B, C is true: the square root of the BC is equal to the A and sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product).
16. Bevel I have bevel in the ratio 1:6. What is the angle and how do I calculate it?
17. Trousers Jarek bought new trousers, but the trousers were too long. Their length was in the ratio 5: 8 to Jarek height. Mother his trousers cut by 4 cm, thus the original ratio decreased by 4%. Determine Jarek's high.
18. Bouquet Gardener tying bouquet of flowers for 8 and none was left. Then he found that he could tying bouquet of 6 flowers and also none was left. How many have gardener flowers (minimum and maximum) if they had between 50 and 100 flowers?
19. Hall Rectangular hall will have pave by square tiles with a side length 15 cm. The hall has length 18 meters and width 3 m. How many tiles need to buy if 2 percent of the amount is disrupted during the work? After 548 hours decreases the activity of a radioactive substance to 1/9 of the initial value. What is the half-life of the substance?