Q: Hunter needs to make a square patch of land whose perimeter is twice as large as a rectangular patch of land. If the rectangular patch of land has a length of 400 feet and a width of 300 feet, calculate the length of one side of the square patch of land.
A: If the rectangular patch of land measures 400 feet by 300 feet, the total length around it or its perimeter is given by 2 * 400 + 2 * 300 = 800 + 600 = 1400. The square patch's perimeter is double that length, so it's 1400 * 2 = 2800. Since the square has four equal sides, one side of the square patch of land will have a length of 2800 / 4 = 700 feet. The answer is 700.
Question: A phone factory makes twice as many phones as last year. Last year’s production was 5000 phones. If a quarter of this year’s production is sold, how many phones are left in the factory?
Answer: This year’s total production is 5000 * 2 = 10000 phones. A quarter of this year’s production is 10000 / 4 = 2500 phones. The number of phones left after selling a quarter of the production is 10000 – 2500 = 7500 phones. The answer is 7500.
[Question]Alan likes to support music creators, so instead of downloading songs from the internet, he visits a record store once in a while. He decided now to buy 2 CDs by "The Dark", 1 CD by the creator "AVN", and 5 CDs that are mixes of songs from the 90s. The price of the "AVN" CD is $12 and it is half the price of one CD by "The Dark". The 5 CDs of 90s music cost is 40% of all the cost of all other CDs Alan is going to buy. How much will Alan have to pay for all the products?
[Answer]If one "AVN" is half the price of one "The Dark" CD, that means one CD of "The Dark" costs 12 * 2 = $24. So for two "The Dark" CDs, Alan needs to pay 24 * 2 = $48. So all CDs cost by now 12 + 48 = $60. The 90s music CDs cost 40 / 100 * 60 = $24. That means for all CDs Alan needs to pay 60 + 24 = $84. The answer is 84.
Q: Patty decides that to convince her brother and sister to do her chores in exchange for cookies. Patty agrees to give them 3 cookies for every chore they do. Each kid normally has 4 chores to do per week. Patty has $15 to buy cookies. Each pack of cookies contains 24 cookies and costs $3. How many weeks can Patty go without doing chores by paying her siblings with cookies?
A: Patty can buy 5 packs of cookies because 15 / 3 = 5. Patty gets 120 cookies because 5 x 24 = 120. Patty would need to pay 12 cookies per week because 3 x 4 = 12. Patty can avoid 10 weeks of chores because 120 / 12 = 10. The answer is 10.
Question: Anna is making gingerbread cookies. She gives 6 of them red hats, 9 of them blue boots, and 3 of them both red hats and blue boots. What percentage of the gingerbread men have red hats?
Answer: The first step to find the total number of gingerbread men is to add the number with each decoration: 6 men + 9 men = 15 men. Then subtract the number of gingerbread men with both decorations to find the total number of gingerbread men: 15 men - 3 men = 12 men. Then divide the number of gingerbread men with red hats by the total number and multiply by 100% to express the answer as a percentage: 6 men / 12 men * 100% = 50%. The answer is 50.
Q: Audrey was asleep for 10 hours last night and dreamed for 2/5 of the time. How much of the night was she not dreaming?
A:
If Audrey was asleep for 10 hours last night and dreamed for 2 / 5 of the time, she dreamed for 2 / 5 * 10 = 4 hours. The total time Audrey slept without dreaming is 10 - 4 = 6 hours. The answer is 6.