Q: Alex was having a cookout Friday night and planned to serve burgers to his guests. He planned to cook 3 burgers for each guest and had invited 10 friends over. 1 of his friends didn't eat meat and said they would bring their own food. Another one of his friends didn't eat bread and would not need the buns. The burger buns came 8 to a pack. How many packs of buns did Alex need to buy?
A: He invited 10 friends but he didn't need to cook for 1 of his friends so that left 10 - 1 = 9 friends to cook for. He was cooking 3 burgers per 9 guests so 3 * 9 = 27 burgers. He needed 27 burger buns but 1 guest wouldn't eat the buns so now he needs 27 - 3 = 24. He will need to buy 24 buns and they come 8 to a pack so he needs 24 / 8 = 3 packs of buns. The answer is 3.
Question: Andrew is having two of his friends over for a sleepover. For one friend, Brian, he asks his mother to buy 3 donuts. He asks for his other friend, Samuel, to get the same. A day before the sleepover Andrew ends up inviting two more friends and asks his mother to buy them the same amount of donuts. Just in case, Andrew's mother wants to buy one more donut for each of Andrew's friends. Andrew's mother is going to buy the same amount of donuts for Andrew as everybody else. How many donuts will Andrew's mother need to buy?
Answer: Andrew is having 4 friends over who will get 3 donuts each, 4 x 3 = 12 donuts total. Andrew's mother wants to get 1 extra donut for each of Andrew's friends, 3 donuts + 1 extra = 4 donuts for each of Andrew's friends. Andrew's mother is buying 12 + 4 extra donuts for Andrew's friends = 16 total donuts. Andrew's mother is also going to get 3 + 1 extra donut for Andrew = 4 donuts. Andrew's mother will need to buy 16 donuts for Andrew's friends + 4 donuts for Andrew = 20 total donuts. The answer is 20.
[Question]Sasha can complete 15 questions an hour. If she has 60 questions to complete and she works for 2 hours, how many questions does she still need to complete?
[Answer]Sasha completes 15 questions / hour * 2 hours = 30 questions. This means there are still 60 questions 30 questions = 30 questions left to complete. The answer is 30.
Q: Lena is making a collage with pictures of all her closest friends and newspaper clippings that are about their interests. She has found three clippings for each friend's pictures. It takes her six drops of glue to stick down each clipping. Lena has already glued her seven closest friends' pictures. How many drops of glue will she need for the newspaper clippings for her collage?
A: Lena has 3 clippings per friend, so she has 3 * 7 = 21 clippings to glue. She needs 6 drops of glue per clipping, so she will need 6 * 21 = 126 drops of glue. The answer is 126.
Question: A new factory opens up and hires 20 people to make t-shirts. Each person makes on average 20 shirts per day during their 8-hour shift. The employees each get paid $12 an hour plus $5 per shirt they make. The company sells shirts for $35 each. Nonemployee expenses come out to $1000 a day. How much does the company make in profits per day?
Answer: Each employee gets paid 20 * 5 = $100 for the shirts they make. They also get paid 12 * 8 = $96 for hours worked. So they get a total of 100 + 96 = $196 per day. That means employee cost is 20 * 196 = $3920. The factory makes 20 * 20 = 400 shirts. So they make 400 * 35 = $14,000 from selling shirts. So they made a profit of 14,000 - 3,920 - 1,000 = $9,080. The answer is 9080.
Q: Paul, a biology teacher, assigns 265 points in the first quarter. There are 4 times as many test points as quiz points, and 5 more quiz points than homework points. How many homework points are there in the first quarter?
A:
Let x represent the number of homework points. Quiz:x + 5. Test:4(x + 5) = 4x + 20. Total:x + x + 5 + 4x + 20 = 265. 6x + 25 = 265. 6x = 240. x = 40 points. The answer is 40.