[Question]There are 180 students in ninth grade. 1/4 of them bombed their finals because they were going through difficult breakups. 1/3rd of the rest didn't show up to take the test, and another 20 got less than a D. How many students passed their finals?
[Answer]First find the number of students who went through breakups: 1 / 4 * 180 = 45 students. Then subtract that number from the total number: 180 students - 45 students = 135 students. Then divide that number by 3 to find the number of students who didn't show up to take the test: 135 students / 3 = 45 students. Then subtract the number of students who failed in each way from the total number to find the number who passed: 180 students - 45 students - 45 students - 20 students = 70 students. The answer is 70.
Q: Cheryl ate 7 m&m's after lunch. She ate 5 m&m's after dinner, and she gave some to her sister. If Cheryl had 25 m&m's at the beginning, how many did she give to her sister?
A: Cheryl at 7 + 5 = 12 m&m's. She gave 25 - 12 = 13 m&m's to her sister. The answer is 13.
Question: Fran baked 50 red macaroons and 40 green macarons. How many macaroons will remain if Fran ate 15 green macaroons and twice as many red macaroons as green macaroons?
Answer: After eating 15 green macaroons, the number is reduced to 40 green macaroons - 15 green macaroons = 25 green macaroons. If Fran ate 15 green macaroons, he also ate 2 red / green * 15 green macaroons = 30 red macaroons. The total number of red macaroons remaining is 50 red macaroons - 30 red macaroons = 20 red macaroons. The total number of macaroons Fran has left are 20 macaroons + 25 macaroons = 45 macaroons. The answer is 45.
[Question]Keith and Blaine went fishing. Blaine caught 5 fish while Keith caught twice as many as Blaine's. How many fish did they catch together?
[Answer]Keith caught 5 x 2 = 10 fish. Therefore, they caught a total of 5 + 10 = 15 fish. The answer is 15.
Q: There were 10000 spectators at a basketball match. 7000 of them were men. Of the remaining spectators, there were 5 times as many children as women. How many children were there?
A: There were 10000 - 7000 = 3000 women and children. There were 3000 ÷ (5 + 1) = 500 women. There are 500 × 5 = 2500 children at the basketball match. The answer is 2500.
Question: Johnny is a dog walker. He can walk 3 dogs at once. He gets paid $15 for a 30-minute walk and $20 for a 60-minute walk. Johnny works for 4 hours per day. If he always walks the maximum number of dogs possible and 6 dogs have 60-minute walks per day, how much money does he make in a week where he works 5 days?
Answer:
Johnny spends 6 / 3 = 2 hours walking the 6 dogs who have 60 - minute walks. He makes $20 * 6 = $120 for these walks. Thus, he has 4 - 2 = 2 hours = 120 minutes left to walk the other dogs. He can walk 3 * (120 / 30) = 12 dogs in this time. Thus, he will make $15 * 12 = $180 on these walks. In total per day, he makes $120 + $180 = $300 per day. Thus, during the week, he makes $300 * 5 = $1500. The answer is 1500.