[Question]The school band has 30 songs in their repertoire. The band played 5 songs in their first set and 7 in their second set. The band will play 2 songs for their encore. Assuming the band plays through their entire repertoire, how many songs will they play on average in the third and fourth sets?
[Answer]The band played 5 + 7 = 12 songs in their first two sets. They have 30 - 12 = 18 songs left for the third set, fourth set and encore. Since they played 2 songs in the encore, they have 18 - 2 = 16 songs to play on the third and fourth sets. They will play 16 / 2 = 8 songs on average over the third and fourth sets. The answer is 8.
Q: Lily has 5 lottery tickets to sell. She sells the first ticket for $1. She then sells each successive ticket for a dollar more than the previous ticket. She plans to keep a $4 profit and give the remaining money as the prize. How much money will the winner of the lottery receive?
A: The second ticket sold will cost $1 + $1 = $2. The third ticket sold will cost $2 + $1 = $3. The fourth ticket sold will cost $3 + $1 = $4. The fifth ticket sold will cost $4 + $1 = $5. The total money collected is $1 + $2 + $3 + $4 + $5 = $15. After taking profit, the total prize money will be $15 - $4 = $11. The answer is 11.
Question: Jennifer purchased 40 cans of milk at the store before meeting her classmate Mark, who was also buying milk. Jennifer bought 6 additional cans for every 5 cans Mark bought. If Mark purchased 50 cans, how many cans of milk did Jennifer bring home from the store?
Answer: If Mark bought 50 cans of milk, the number of times Jennifer added 6 cans for every 5 that Mark bought is 50 / 5 = 10 times. The total number of additional cans she bought is 10 * 6 = 60 cans. If she initially had 40 cans, she went home with 40 + 60 = 100 cans of milk. The answer is 100.
[Question]To pass the time while she is waiting somewhere Carla likes to count things around her. While she is waiting for school to start on Monday she counts the tiles on the ceiling--38. While she is waiting for everyone to finish their tests after she has handed in hers, she counts the books in the room--75. On Tuesday Carla counts all the tiles twice in a row and she counts the books three times in a row when she has to wait for a long time for the teacher to finish handing out the graded tests. If every time Carla counts something counts as once, how many times has Carla counted something on Tuesday?
[Answer]When Carla was waiting on Monday she counted 38 ceiling tiles and on Tuesday she counted them twice, 38 ceiling tiles x 2 = 76 times she counted a ceiling tile. She also counted 75 books in the room on Monday and counted them three times in a row on Tuesday, 75 books x 3 = 225 times she counted a book. On Tuesday Carla counted the ceiling tiles 76 times + counted books 225 times = 301 times Carla counted something on Tuesday. The answer is 301.
Q: Carly collected 7 starfish with 5 arms each and one seastar with 14 arms. How many arms do the animals she collected have in total?
A: First find the total number of starfish arms: 7 starfish * 5 arms / starfish = 35 arms. Then add the number of seastar arms to find the total number of arms: 35 arms + 14 arms = 49 arms. The answer is 49.
Question: Jean has three times as much money as Jane. They have a combined total of $76. How much money does Jean have?
Answer:
Let's assume the total amount of money that Jane has is m. Since Jean has 3 times as much money as Jane, he has 3 * m = 3m. Combined, Jean and Jane have a total of m + 3m = $76. This evaluates to 4m = $76. The total amount of money that Jane has, represented by m, is m = $76 / 4. Jane has m = $19. Since Jean has three times as much money as Jane, Jean has 3 * $19 = $57. The answer is 57.