Q: Dianne runs a store that sells books. 37% of her 1000 customers end up returning their books. Her books all cost 15 dollars apiece. How much money does she keep in sales after subtracting the returns?
A: Diane made 1000 * 15 = $15000 in sales because she had 1000 customers each buy a $15 book. 37% of those customers returned their books, so that means she had .37 * 1000 = 370 returns. Each of those returns was for a $15 book, so she had 370 * 15 = $5,550 in returns. For her total leftover income, we subtract the returns from the sales and end up with 15000 - 5550 = $9450 in income. The answer is 9450.
Question: Tony bought 3 lottery tickets and chose identical numbers on each ticket. He finds out that 5 of the numbers on each lottery ticket are winning numbers. If each winning number is worth $20 then how much money, in dollars, has Tony won in total?
Answer: Across all of the lottery tickets, Tony has a total of 3 lottery tickets * 5 winning numbers per lottery ticket = 15 winning numbers. Across all the numbers, he has won a total of 15 winning numbers * $20 per winning number = $300. The answer is 300.
[Question]Five years ago, the sum of Sebastian's age and his sister's age was 3/4 of their father's age. How old is their father today if Sebastian is 40 years old and 10 years older than his sister?
[Answer]If Sebastian is 40 years old and 10 years older than his sister, his sister is 40 - 10 = 30 years old. Five years ago, Sebastian was 40 - 5 = 35 years old. Similarly, Sebastian's sister's age was 30 - 5 = 25 years old. The sum of their ages five years ago was 25 + 35 = 60. Five years ago, the sum of Sebastian's age and his sister's age was 3 / 4 of their father's age, meaning their father's age was 60 / 3 / 4 = 80 years. The father's age is now 80 + 5 = 85. The answer is 85.
Q: Daryl is loading crates at a warehouse and wants to make sure that they are not overloaded. Each crate can weigh up to 20kg and he has 15 crates he can fill. He has 4 bags of nails to load, each of which weighs 5kg; he has 12 bags of hammers, each of which weighs 5 kg; he also has 10 bags of wooden planks, each of which weighs 30kg and can be sub-divided. He realizes that he has too much to load and will have to leave some items out of the crates to meet the weight limit. In kg, how much is Daryl going to have to leave out of the crates?
A: Daryl can load up to 15 crates * 20kg per crate = 300kg. The nails weigh a total of 4 bags of nails * 5kg per bag of nails = 20kg. The hammers weigh a total of 12 bags of hammers * 5kg per bag of hammers = 60kg. The wooden planks weigh a total of 10 bags of wooden planks * 30kg per bag of wooden planks = 300kg. So in total, Daryl’s items weigh a total of 20kg nails + 60kg hammers + 300kg wooden planks = 380kg. He will therefore need to leave out 380kg in items – 300kg weight limit = 80kg. The answer is 80.
Question: Miss Smith is teaching second period English and is shocked at how small the class seems. There are 6 tables in the classroom with 3 students currently sitting at each table. Sally said 3 girls went to the bathroom, and three times more students went to the canteen. Elliott said that 2 groups of students have recently been added to their class, and each group has 4 students in it. None of these students are in the class right now. Lucas pointed out that a few foreign exchange students have joined the class; 3 from Germany, 3 from France, and 3 from Norway. These students are also missing. How many students are supposed to be in the class?
Answer: There are currently 3 * 6 = 18 students sitting in the classroom. There were 3 * 3 = 9 students who went to the canteen. Sally has therefore noticed 3 + 9 = 12 students missing from the class. Elliott said that 2 groups of students have joined the class, so there are another 2 * 4 = 8 students who are not in the classroom. Lucas said that there are 3 + 3 + 3 = 9 foreign exchange students who are not in the classroom. Therefore, there should be 18 + 12 + 8 + 9 = 47 students. The answer is 47.
Q: Don buys recyclable bottles in a small town. Shop A normally sells him 150 bottles, shop B sells him 180 bottles and Shop C sells him the rest. How many bottles does Don buy from Shop C if he is capable of buying only 550 bottles?
A:
Between Shop A and Shop B he buys 150 bottles + 180 bottles = 330 bottles. Thus he can buy 550 bottles - 330 bottles = 220 bottles from shop C. The answer is 220.