[Question]Carla is making smoothies. If she uses 500 ml of watermelon puree and 100 ml of cream, how many 150 ml servings can she make?
[Answer]First find the total volume of the smoothie mix: 500 ml + 100 ml = 600 ml. Then divide the total volume by the volume per serving to find the number of servings: 600 ml / 150 ml / serving = 4 servings. The answer is 4.
Q: James can buy a new computer for $600 and have it last 6 years, or buy 2 used computers for $200 each that each last 3 years. How much money will he save by picking the cheaper option?
A: First find the cost of the two used computers: $200 / computer * 2 computers = $400. Then subtract that cost from the cost of the new computer to find the savings: $600 - $400 = $200. The answer is 200.
Question: Emily has 6 marbles. Megan gives Emily double the number she has. Emily then gives Megan back half of her new total plus 1. How many marbles does Emily have now?
Answer: Megan gives Emily 6 * 2 = 12 marbles. Emily then has 6 + 12 = 18 marbles. Emily gives Megan 18 / 2 + 1 = 10 marbles. Emily has 18 - 10 = 8 marbles now. The answer is 8.
[Question]Prudence was starting a cupcake business. She figured that each cupcake cost $0.75 to make. The first 2 dozen that she made burnt and she had to throw them out. The next 2 came out perfectly and she ended up eating 5 cupcakes right away. Later that day she made 2 more dozen cupcakes and decided to eat 4 more. If she sells the remaining cupcakes at $2.00 each, how much is her net profit?
[Answer]She burnt 2 dozen, cooked 2 dozen and then another 2 dozen that evening. So she made 2 + 2 + 2 = 6 dozen cupcakes. Each dozen makes 12 cupcakes, so she made 6 * 12 = 72 cupcakes. She threw away 2 dozen cupcakes, so 2 * 12 = 24 cupcakes. She made 72, threw away 24, ate 5 and then ate another 4 so she had 72 - 24 - 5 - 4 = 39 cupcakes left. She sells the 39 cupcakes at $2.00 each so she earned 39 * 2 = $78.00. She made 72 cupcakes at a cost of $0.75 each for a total cost of 72 * $0.75 = $54.00. If she made $78 on the remaining cupcakes and it cost her $54.00 to make all of the cupcakes then her profit is $78 - $54 = $24.00. The answer is 24.
Q: Bonny just bought her 13th pair of shoes, which is 5 less than twice as many pairs of shoes as Becky owns. Bobby has 3 times as many pairs of shoes as Becky has. How many shoes does Bobby have?
A: Let x be the number of pairs of shoes that Becky owns. Since 13 pairs is 5 less than twice as many pairs as Becky owns, then the relationship is 2x - 5 = 13. Adding 5 to each side of the equation, we get 2x = 18. Solving for x, we get x = 9. Since Bobby has 3 times as many pairs of shoes as Becky has, then Becky has 3 * 9 = 27 pairs of shoes. The answer is 27.
Question: Larry and Barry want to pick apples out of the tree, but neither is tall enough to reach the apples. Barry can reach apples that are 5 feet high. Larry is 5 feet tall, but his shoulder height is 20% less than his full height. If Barry stands on Larry's shoulders, how high can they reach?
Answer:
Larry's shoulder height is 20% less than 5 feet, or 0.2 * 5 = 1 foot less than 5 feet. One foot less than 5 feet is 5 - 1 = 4 feet. If Barry stands on Larry's shoulders, they can reach 4 + 5 = 9 feet. The answer is 9.