[Question]A rectangular flowerbed in the city park is 4 meters wide. Its length is 1 meter less than twice its width. The government wants to fence the flowerbed. How many meters of fence are needed?
[Answer]Twice the width is 4 x 2 = 8 meters. The length of the rectangular flowerbed is 8 - 1 = 7 meters. Since the rectangular flower bed has 2 equal lengths, then it needs 7 x 2 = 14 meters of fence. The rectangular bed has also 2 equal widths, so it needs 4 x 2 = 8 meters of fence. Therefore, the rectangular flower bed needs a total of 14 + 8 = 22 meters of fence. The answer is 22.
Q: A flagpole is 12 feet tall. It breaks, folding over in half, such that what was the tip of the flagpole is now dangling two feet above the ground. How far from the base, in feet, did the flagpole break?
A: The break occurred (12 - 2) / 2 = 5 feet from the top. Then it was 12 - 5 = 7 feet from the base. The answer is 7.
Question: A water tower that serves four neighborhoods around it holds 1200 barrels of water and is filled to the top each week. If one neighborhood uses 150 barrels of water in a week, the second neighborhood uses twice as many barrels of water as the first neighborhood in a week, and the third neighborhood uses one hundred more barrels of water than the second neighborhood in a week, how many barrels are left for the fourth neighborhood?
Answer: The second neighborhood uses 150 * 2 = 300 barrels of water. The third neighborhood uses 300 + 100 = 400 barrels of water. The first, second, and third neighborhoods together use 150 + 300 + 400 = 850 barrels of water. Thus, the fourth neighborhood has 1200 - 850 = 350 barrels of water left for it to use. The answer is 350.
[Question]Lloyd, Mark, and Michael have their Pokemon cards collection. Currently, Mark has thrice as many cards as Lloyd but has 10 fewer cards than Michael. If Michael has 100 cards now, how many more cards should they collect so that all three of them will have a total of 300 cards?
[Answer]Mark has 10 fewer cards than Michael so Mark has 100 cards - 10 cards = 90 cards. So, Lloyd has 90 cards / 3 = 30 cards. All three of them have 90 cards + 30 cards + 100 cards = 220 cards. Thus, they need to collect 300 cards - 220 cards = 80 more cards. The answer is 80.
Q: Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?
A: There are 4 letters in Jamie’s last name, so Bobbie’s name is 4 * 2 + 2 = 10 letters long. Samantha’s last name is 3 letters shorter than Bobbie’s, so there are 10 - 3 = 7 letters in Samantha’s last name. The answer is 7.
Question: Mikaela earns $10 an hour tutoring. For the first month, she tutored for 35 hours and in the second month, she tutored 5 hours more than the first month. She spent 4/5 of her total earnings on her personal needs and saved the rest of the money. How much did she save?
Answer:
Mikaela spent 35 + 5 = 40 hours in the second month. So, she tutored a total of 35 + 40 = 75 hours for the first two months. Thus, her total earning was 75 x $10 = $750. And, her total expenses was 4 / 5 x $750 = $600. Therefore, she saved an amount of $750 - $600 = $150. The answer is 150.