Question: 42 raspberries, blackberries, and blueberries were picked in total. If half of all the berries had been raspberries, and a third of the berries were blackberries, how many of them were blueberries?
Answer: 42 / 2 = 21 raspberries had been picked. 42 / 3 = 14 blackberries had been picked. 21 + 14 = 35 raspberries and blackberries had been picked. 42 - 35 = 7 blueberries had been picked. The answer is 7.
[Question]After Martha went grocery shopping she had 4 bottles of juice in the refrigerator and 4 bottles in the pantry. During the week Martha bought 5 more bottles of juice. If Martha and her family drank 3 bottles of juice during the week, how many bottles are left?
[Answer]Martha had 4 bottles of juice in the pantry + 4 bottles in the refrigerator = 8 bottles of juice. After Martha went shopping she added 5 bottles of juice to the + 8 bottles she already had = 13 bottles of juice. Martha and her family drank 3 bottles of juice during the week from the 13 they had, 13 - 3 = 10 bottles left. The answer is 10.
Q: Tom's rabbit can run at 25 miles per hour. His cat can run 20 miles per hour. The cat gets a 15-minute head start. In hours, how long will it take for the rabbit to catch up?
A: The cat got a 15 / 60 = .25 hour head start. That means it ran 20 * .25 = 5 miles. The rabbit goes 25 - 20 = 5 mph faster than the cat. So it takes 5 / 5 = 1 hour for the rabbit to catch up. The answer is 1.
Question: John is holding a poker night with his friends and is getting the decks of cards ready before his friends show up. After losing so many cards from various decks, John thinks he needs to count exactly how many cards he has to make sure he has enough full decks for the night. Each deck of cards should hold 52 cards. He finds 3 half-full decks of cards and 3 full decks of cards. As he is arranging them, he realizes that the quality of a lot of the cards is quite poor and decides to throw 34 of the cards in the trash. How many cards does John now have?
Answer: In the full decks, John has a total of 52 cards in a full deck of cards * 3 full decks of cards = 156 cards. A half - full deck of cards contains 52 cards in a full deck of cards / 2 = 26 cards. So from the half - full decks, John has a total of 26 cards * 3 half - full decks = 78 cards. This is a total of 156 cards from full decks + 78 cards from half - full decks = 234 cards. After throwing some in the trash, he now holds a total of 234 cards - 34 trashed cards = 200 cards. The answer is 200.
[Question]Niko has bought 9 pairs of socks that cost $2 each and plans to resell them. He wants to gain 25% profit from four of the pairs of socks and $0.2 profit each for the other 5 pairs of socks. How much will his total profit be?
[Answer]Niko will earn $2 x 25 / 100 = $0.5 profit for each of the first four pairs of socks. So, his total profit for the four pairs of socks will be $0.5 x 4 = $2. His total earnings for the 5 pairs of socks is $0.2 x 5 = $1. Therefore, his total profit will be $2 + $1 = $3. The answer is 3.
[Question]Brittany, Alex, and Jamy all share 600 marbles divided between them in the ratio 3:5:7. If Brittany gives Alex half of her marbles, what's the total number of marbles that Alex has?
[Answer]
The total ratio representing the number of marbles is 3 + 5 + 7 = 15. From the ratio, the fraction representing the number of marbles that Brittany has is 3 / 15, which is equal to 3 / 15 * 600 = 120 marbles. Alex has 5 / 15 * 600 = 200 marbles. If Brittany gives half of her marbles to Alex, Alex receives 1 / 2 * 120 = 60 marbles. After receiving 60 marbles from Brittany, Alex has 200 + 60 = 260 marbles. The answer is 260.