[Question]Gretchen's local ice cream shop offers 100 different flavors. She was able to try a 1/4 of the flavors 2 years ago and double that amount last year. How many more flavors will she need to try this year to have tried all 100 flavors?
[Answer]The shop offers 100 flavors and she tried 1 / 4 of the flavors so she had 100 * .25 = 25 flavors 2 years ago. Last year she ate double the amount from the previous year so she had 25 * 2 = 50 flavors. 2 years ago she ate 25 flavors and last year she had 50 flavors so she has had 25 + 50 = 75 flavors. The shop offers 100 flavors and she has had 75 flavors so she still needs to try 100 - 75 = 25 flavors. The answer is 25.
Q: Carl caused a car accident that resulted in $40,000 worth of property damage and $70,000 worth of medical bills. If Carl's insurance company will pay 80% of the costs, leaving Carl to pay the remaining 20%, how much does Carl personally owe?
A: First find the total cost of the accident: $40,000 + $70,000 = $110,000. Then multiply the total cost by the percentage Carl has to pay to find his personal cost: $110,000 * .2 = $22,000. The answer is 22000.
Question: Hazel walked 2 kilometers in the first hour. If she walked twice as far in the second hour, how far did she walk for 2 hours?
Answer: Hazel walked 2 x 2 = 4 kilometers in the second hour. So, she walked 2 + 4 = 6 kilometers for 2 hours. The answer is 6.
[Question]There is a pie-eating contest at school. Adam eats three more pies than Bill. Sierra eats twice as many pies as Bill. If Sierra ate 12 pies, how many pies were eaten in total?
[Answer]Bill ate 12 / 2 = 6 pies. Adam ate 6 + 3 = 9 pies. They ate a total of 6 + 9 + 12 = 27 pies. The answer is 27.
Q: At his craftwork store, Howard has a collection of 70 wooden bowls where he rewards two to his customers for every 10 they buy. If he had 20 customers that day, half of whom bought 20 bowls each, calculate the number of bowls remaining in the rewards collection.
A: Half of the 20 customers, which is 1 / 2 * 20 = 10 bought 20 bowls each, receiving 2 for every 10. The total number of reward bowls each customer who bought 20 bowls received is 2 + 2 = 4. If 10 customers bought 20 bowls, Howard gave away 4 * 10 = 40 bowls as rewards. The total number of reward bowls that remained is 70 - 40 = 30. The answer is 30.
Question: The perimeter of a triangle is 160 cm. If two of the sides are 40 cm and 50 cm, calculate the length of the third side?
Answer:
To get the perimeter, you add all the sides o the triangles, so the first two sides add up to 40 + 50 = 90 cm. If the perimeter of the triangle is 160, the remaining side is 160 - 90 = 70 cm. The answer is 70.