Question: An apartment building has 12 floors and half of them are full. The remaining floors are all at half-capacity. If each floor has 10 apartments and each apartment has four people, how many people are in the building?
Answer: Half the floors are full, so there are 12 floors * 0.5 = 6 floors that are full. So the full floors contain 6 floors * 10 apartments = 60 apartments. The remaining floors are at half - capacity, so there are 12 floors – 6 full floors = 6 half - full floors. Each of these floors therefore contains 10 apartments * 0.5 = 5 apartments. So on the half - full floors, there are a total of 6 floors * 5 apartments = 30 apartments. In total, there are 30 + 60 = 90 filled apartments in the building. This means there are 90 apartments * 4 people per apartment = 360 people in the building. The answer is 360.
[Question]Vivian plays 10 Spotify songs every day. Her best friend Clara plays 2 fewer songs each day. If in June they didn't play any song during the weekends only, and there were 8 weekend days in June, what's the total number of songs they both listened to in that month?
[Answer]June has 30 days, so if they didn't play any songs on weekends, then they played 30 days - 8 days = 22 days. If Vivian played 10 songs each day, the total number of songs she played for the month is 10 songs / day * 22 days = 220 songs. Clara played 2 fewer songs, which is 10 songs / day - 2 songs / day = 8 songs / day. The total number of songs played by Clara for the whole month is 8 songs / day * 22 days = 176 songs. The total played by both is 220 songs + 176 songs = 396 songs. The answer is 396.
Q: Marcia's hair is 24" long at the beginning of the school year. She cuts half of her hair off and lets it grow out 4 more inches. She then cuts off another 2" of hair. How long is her hair?
A: Her hair was 24" long and she cut half off so she cut 24 / 2 = 12 inches. Her hair was 24" long and she cut 12" off so she has 24 - 12 = 12 inches left. She has 12" of hair and lets it grow 4 more inches for a total of 12 + 4 = 16 inches. She has 16" and cuts off 2 more inches which leaves her hair 16 - 2 = 14 inches long. The answer is 14.
Question: Chloe and Max played Mario Kart together. The ratio of Chloe’s wins to Max’s wins is 8:3. Chloe won 24 times. How many times did Max win?
Answer: We are trying to figure out how many times Max won at Mario Kart, so we'll call that number Y. We know the ratio of Chloe’s wins to Max’s wins is 8 / 3, so 8 / 3 = 24 / Y. Next, we will multiply to find the cross - products. 8 x Y = 3 x 24 or 8Y = 72. We want to get figure out Y, so we need to get it by itself by dividing by 8, like this: 8Y / 8 = 72 / 8. Y = 9, so Max won 9 times. The answer is 9.
[Question]Tricia buys large bottles of iced coffee that have 6 servings per container. She drinks half a container a day. The coffee is currently on sale for $3.00 a bottle. How much will it cost her to buy enough bottles to last for 2 weeks?
[Answer]She drinks half a container of a 6 serving bottle of iced coffee a day so she drinks 6 / 2 = 3 servings a day. There are 7 days in a week and she needs enough bottles to last for 2 weeks so that's 7 * 2 = 14 days. She drinks 3 servings a day for 14 days so that's 3 * 14 = 42 servings. Each bottle holds 6 servings and she drinks 42 servings in a week so she needs 42 / 6 = 7 bottles. The iced coffee is on sale for $3.00 a bottle and she needs 7 bottles for a total of 3 * 7 = $21.00. The answer is 21.
[Question]Quinton brought 40 cupcakes to school on his birthday. He gave a cupcake to each of the 18 students in Ms. Delmont's class. He also gave a cupcake to each of the 16 students in Mrs. Donnelly's class. He also gave a cupcake to Ms. Delmont, Mrs. Donnelly, the school nurse, and the school principal. How many cupcakes did he have left over?
[Answer]
Quinton had 40 cupcakes - 18 = 22 cupcakes. He then had 22 cupcakes - 16 students = 6 cupcakes. Quinton then gave away 6 - 1 - 1 - 1 - 1 = 2 cupcakes left. The answer is 2.