[Question]James decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?
[Answer]On the second day, he collected 3 times the number of tins he collected on the first day, which is 3 * 50 = 150 tins. On the third day, he collected 50 tins fewer than the second day, which is 150 - 50 = 100 tins. The total for the three days is 150 + 100 + 50 = 300 tins. To reach his goal, he still needs 500 - 300 = 200 tins. Since the total number of days left in the week is 4, he'll need to collect 200 / 4 = 50 tins per day to reach his goal. The answer is 50.
Q: In a block of flats, there are 120 apartments. 85% of them have at least 1 resident, while 60% of the apartments have at least two residents. How many apartments have only one resident?
A: At least one person lives in 85 / 100 * 120 = 102 apartments. At least two persons live in 60 / 100 * 120 = 72 apartments. So in every of the 102 - 72 = 30 apartments, only one person is living. The answer is 30.
Question: Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw?
Answer: On Saturday, Erica saw 3 + 2 = 5 animals. On Sunday she spotted 2 + 5 = 7 animals. On Monday, she saw 5 + 3 = 8 animals. Adding up all the animals Erica saw gives a total of 5 + 7 + 8 = 20 animals. The answer is 20.
[Question]A store has an 8% discount on all items. If Shara paid $184 for a pair of shoes, how much did Shara save?
[Answer]The price that Shara paid is only 100% - 8% = 92% of the original price. So, every 1% is equal to $184 / 92 = $2. Therefore, Shara saved $2 x 8 = $16. The answer is 16.
Q: Roger had a 6-hour drive planned out. He didn't want to listen to music so he downloaded several podcasts. The first podcast was 45 minutes long. The second podcast was twice as long as that. The third podcast was 1 hour and 45 minutes long. His fourth podcast is 1 hour long. How many hours will his next podcast have to be to fill up the full 6 hours?
A: The second podcast was twice as long as the first so 2 * 45 = 90. 1 hour is 60 mins. So his 1 hour and 45 min podcast is 60 + 45 = 105 minutes long. So far he has downloaded 45 + 90 + 105 + 60 = 300 min. If he converts 300 min to hours then he has 300 / 60 = 5 hours of podcasts downloaded. He has 5 hours of podcasts and his drive is 6 hours so he will need 6 - 5 = 1 more hour of podcasts. The answer is 1.
Question: Natasha has 3 times as much money as Carla, and Carla has twice as much money as Cosima. If Natasha has $60, and the three decide to buy goods worth the total amount they have and sell the goods at 7/5 of the buying price, how much profit would they make?
Answer:
If Natasha has $60, which is 3 times as much money as Carla, Carla has $60 / 3 = $20. Together, Carla and Natasha have $20 + $60 = $80. Carla has twice as much money as Cosima, meaning Cosima has $20 / 2 = $10. Combined, the three have $10 + $80 = $90. If they buy goods with the amount they have and sell at 7 / 5 of the buying price, the total amount of money they will get from selling the goods is 7 / 5 * 90 = $126. If they earn $126 from the sale of the goods they bought with the money they had, their profit is $126 - $90 = $36. The answer is 36.