# Latest word problems

1. Apples and pears
Apples cost 50 cents piece, pears 60 cents piece, bananas cheaper than pears. Grandma bought 5 pieces of fruit, there was only one banana and paid 2 euros 75 cents. How many apples and how many pears?
2. Dividing money
Jane and Silvia are to divide 1200 euros in a ratio of 19:11. How many euros does the Jane have?
3. Casey
Casey bought a 15.4 pound turkey and an 11.6 pound ham for thanksgiving and paid \$38.51. Her friend Jane bought a 10.2 pound turkey and a 7.3 pound ham from the same store and paid \$24.84. Find the cost per pound of turkey and the cost per pound of ham.
The ladder has a length of 3 m and is leaning against the wall, and its inclination to the wall is 45°. How high does it reach?
5. The cable car
The cable car has a length of 3,5 kilometers and an angle of climb of 30 degrees. What is the altitude difference between Upper and Lower Station?
6. Holidaymakers
A total of 94270 holidaymakers spent part of their holiday in 50 hotels a year. On average, how many vacationers are there for one hotel?
7. Two pen
Two pen and one notebook costs \$56. One pen costs 1/5 of one notebook. How much is the one notebook?
8. Company logo
The company logo consists of a blue circle with a radius of 4 cm, which is an inscribed white square. What is the area of the blue part of the logo?
9. The tickets
The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices.
10. Saving
At the beginning of the year, Tomas had saved 230kc, after half a year even 590 CZK. How many crowns did he save each month when saving the same amount?
11. Almonds
Rudi has 4 cups of almonds. His trail mix recipe calls for 2/3 cup of almonds. How many batches of trail mix can he make?
12. Let x
Let x represent one quantity. State what that quantity represents. Express the second quantity in terms of x. The length of the rectangle is 4 inches less than 8 times the width.
13. Car loop
The toy car runs at an average speed of 2 m/s. In a minute, it will pass the entire circuit five times. How long is the loop?
14. AMSL and skiing
Tomas skis from point A (3200m above sea level to place B. Hill has 20% descent. The horizontal distance between the start and finish is 2,5km. At what altitude is point B?
15. Turtles 2
A box turtle hibernates in the sand at 11 5/8. A spotted turtle hibernates at 11 16/25 feet. Which turtle is deeper?
16. Tank of fuel
A 14.5-gallon tank of fuel is 3/4 full. How many more gallons will it take to fill up the tank?
17. Age problems
A) Alex is 3 times as old as he was 2 years ago. How old is he now? b) Casey was twice as old as his sister 3 years ago. Now he is 5 years older than his sister. How old is Casey? c) Jessica is 4 years younger than Jennifer now. In 10 years, Jessica w
18. Cottage house
The village is 28 km from the cottage. Father goes from village to cottage. Son goes from the cottage to the village. They meet 10 km further behind the cottage. How much did dad walk?
19. Depth angles
At the top of the mountain stands a castle, which has a tower 30 meters high. We see the crossroad in the valley from the top of the tower and heel at depth angles of 32° 50 'and 30° 10'. How high is the top of the mountain above the crossroad
20. Area of a rectangle
Calculate the area of a rectangle with a diagonal of u = 12.5cm and a width of b = 3.5cm. Use the Pythagorean theorem.

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