Q: Max has a collection of stamps in three colors: 20 red stamps, 80 blue stamps and 7 yellow ones. He is trying to sell the whole collection. He already sold 20 red stamps for the price of $1.1 for each stamp and 80 blue stamps for the price of $0.8 for each stamp. What price did he need to set for each yellow stamp to be able to earn the total of $100 from the whole sale?
A: Max earned 20 * 1.1 = $22 on red stamps. From the blue stamps Max got 80 * 0.8 = $64. His earnings so far are 22 + 64 = $86. To earn $100 he needs 100 86 = $14 more. Max has 7 yellow stamps, so he needs to set the price at 14 / 7 = $2. The answer is 2.
Question: Alice is making a big stack of dishes to see how tall she can make it before it topples over and falls. She starts off by placing 27 plates on top of each other. The tower holds fine so she adds 37 more plates. She is in the process of placing more and more plates when it finally topples over and crashes down, all 83 plates. How many more was Alice able to add before the tower fell and crashed?
Answer: Alice was able to stack 27 + 37 = 64 plates she already stacked. The tower crashes when there are 83 plates - 64 plates already stacked = 19 plates she was able to stack before the tower crashed. The answer is 19.
[Question]Lighters cost $1.75 each at the gas station, or $5.00 per pack of twelve on Amazon. How much would Amanda save by buying 24 lighters online instead of at the gas station?
[Answer]First find how many packs Amanda would have to buy on Amazon: 24 lighters / 12 lighters / pack = 2 packs. Then multiply that number by the cost per pack to find the total cost from Amazon: 2 packs * $5 / pack = $10. Then multiply the total number of lighters Amanda buys by the cost per lighter at the gas station: 24 lighters * $1.75 / lighter = $42. Then subtract the total Amazon cost from the total gas station cost to find the savings: $42 - $10 = $32. The answer is 32.
Q: The class has to guess how many jellybeans are in a jar the teacher brought in. He lets 4 students make their guesses. The first thinks it contains 100 jellybeans. The second says there are 8 times as many. The third guesses 200 less than the third. The fourth takes the average of the first three guesses, and then adds 25 to it. How many jellybeans did the fourth student guess?
A: The second student guessed 800 because 8 x 100 = 800. The third guessed 600 because 800 - 200 = 600. The total guesses of the first three is 1500 because 100 + 800 + 600 = 1500. The average of the first three guesses is 500 because 1500 / 3 = 500. The fourth student guessed 525 because 500 + 25 = 525. The answer is 525.
Question: John buys dinner plates and silverware. The silverware cost $20. The dinner plates cost 50% as much as the silverware. How much did he pay for everything?
Answer: The dinner plates cost 20 * .5 = $10. So he paid 10 + 20 = $30. The answer is 30.
Q: Antoinette weighs 7 less kilograms than twice Rupert's weight. Together they weigh 98 kilograms. How many kilograms does Antoinette weigh?
A:
Let R = Rupert's weight. Antoinette = 2R - 7. R + 2R - 7 = 98. 3R = 105. Rupert = 35 kg. Antoinette = 2 * 35 - 7 = 63 kg. Antoinette weighs 63 kilograms. The answer is 63.