Q: The area of a triangle with a given base and height is given by 1/2*base*height. What is the base length of a triangle with height 8 and area 24 square units?
A: Let b be the base of the triangle. (1 / 2) * b * 8 = 24. 4 * b = 24. b = 6. The answer is 6.
Question: Emma got $2000 from the bank. She bought $400 of furniture and gave 3/4 of the rest to her friend Anna. How much is left with Emma?
Answer: Emma had $2000 - $400 = $1600 left after buying furniture. Emma gave Anna 3 / 4 * $1600 = $1200. So, Emma is left with $1600 - $1200 = $400. The answer is 400.
[Question]A group of six friends planned to buy a car. The cost of the car is $1700 and they plan to share the cost equally. They had a car wash to help raise funds, which would be taken out of the total cost. The remaining cost would be split between the six friends. At the car wash, they earn $500. However, Brad decided not to join in the purchase of the car. How much more does each friend have to pay now that Brad isn't participating?
[Answer]Start by finding the total that is left, $1700 car price - $500 earned at car wash = $1200 remaining. So the six friends should pay $1200 / 6 people = $200 each. Since Brad is not joining, then the 5 friends have to split Brad's share which is $200 / 5 = $40 each. The answer is 40.
Q: Jerome bought 5 new toy cars last month. This month he bought twice as many so that he has 40 toy cars now. How many toy cars did Jerome have originally?
A: Jerome bought 5 x 2 = 10 toy cars this month. So he bought a total of 5 + 10 = 15 toy cars. Therefore, Jerome had 40 - 15 = 25 toy cars originally. The answer is 25.
Question: Sharon wants to get kitchen supplies. She admired Angela's kitchen supplies which consist of 20 pots, 6 more than three times as many plates as the pots, and half as many cutlery as the plates. Sharon wants to buy half as many pots as Angela, 20 less than three times as many plates as Angela, and twice as much cutlery as Angela. What is the total number of kitchen supplies Sharon wants to buy?
Answer: Angela has 6 + 3 * 20 = 66 plates. Angela has 1 / 2 * 66 = 33 cutlery. Sharon wants to buy 1 / 2 * 20 = 10 pots. Sharon wants to buy 3 * 66 - 20 = 178 plates. Sharon wants to buy 2 * 33 = 66 cutlery. Sharon wants to buy a total of 10 + 178 + 66 = 254 kitchen supplies. The answer is 254.
Q: A town is holding a fireworks display for New Year's Eve. They light enough fireworks to show the full year then light enough fireworks to write "HAPPY NEW YEAR" in the sky. They then light another 50 boxes of fireworks as part of the display. Each box of fireworks contains 8 fireworks. If it takes 6 fireworks to display a number and 5 fireworks to display a letter, how many fireworks are lit during the display?
A:
Writing out the full year uses 4 numbers so this takes 4 numbers * 6 fireworks per number = 24 fireworks. "HAPPY NEW YEAR" contains 12 letters so this takes 12 letters * 5 fireworks per letter = 60 fireworks. There is therefore a total of 24 + 60 = 84 fireworks lit at the start of the display. From the boxes, they lit another 50 boxes * 8 fireworks per box = 400 fireworks. So in total, the whole display uses 84 + 400 = 484 fireworks. The answer is 484.