Question: John had $200. He gave 3/8 of his money to his mother and 3/10 to his father. How much money did John have left?
Answer: John's mother received 3 / 8 x $200 = $75. His father got 3 / 10 x $200 = $60. Thus, John gave a total of $75 + $60 = $135. Therefore, John had $200 - $135 = $65 left. The answer is 65.
[Question]Christopher, Jameson, and June each bought a toy sword. June's sword is 5 inches longer than Jameson's sword. Jameson's sword is 3 inches longer than twice the length of Christopher's sword. Christopher's sword is 15 inches long. How many inches longer is June's sword than Christopher's sword?
[Answer]Twice the length of Christopher's sword is 15 x 2 = 30 inches. So, Jameson's sword is 30 + 3 = 33 inches long. June's sword is 33 + 5 = 38 inches long. Thus, June's sword is 38 - 15 = 23 inches longer than Christopher's sword. The answer is 23.
Q: Carlos has some gold quarters. If he spends them in a store, they are worth the regular amount. If he melts them down, he can get $100 per ounce. Each quarter weighs 1/5 of an ounce. How many times more money would he get from melting them down instead of spending them in a store?
A: If he melts them down, five quarters equals $100 because 1 / (1 / 5) = 5. If he spends those five quarters they are worth $1.25 because 5 x .25 = 1.25. They are worth 80 times more melted down because 100 / 1.25 = 80. The answer is 80.
Question: Johnny is an engineer designing a bridge. The roadway deck for the top of the bridge needs 1600 tons of concrete to construct. The two bridge anchors need equal amounts of concrete, but only one has been built so far, using 700 tons of concrete. Johnny had to calculate how many tons of concrete the supporting pillars underneath the bridge would need, and he found that the total amount of concrete in the entire bridge will be 4800 tons. How much concrete did Johnny find he needs for the supporting pillars?
Answer: The bridge anchors will take 700 * 2 = 1400 tons of concrete. The roadway deck and bridge anchors need 1600 + 1400 = 3000 tons of concrete. Thus, Johnny found the supporting pillars need 4800 - 3000 = 1800 tons of concrete. The answer is 1800.
[Question]Karen hangs 6 ferns around her house. Each fern has 7 fronds, and each frond has 30 leaves. How many leaves do all the ferns have?
[Answer]First find the total number of fronds on all the ferns: 7 fronds / fern * 6 ferns = 42 fronds. Then find the total number of leaves on 42 fronds: 42 fronds * 30 leaves / frond = 1260 leaves. The answer is 1260.
[Question]A forester is planting trees. The forest already has 30 native trees. On Monday he triples the number of total trees in the forest by planting new trees. On Tuesday, he plants a third of the amount he planted on Monday. How many trees has the forester planted in total?
[Answer]
Let M be the number of trees he plants on Monday. On Monday the forest was three times larger from the trees that were originally there and the M trees: 3 * 30 = 30 + M trees. So, 90 = 30 + M. And, M = 60 trees. On Tuesday, he planted 60 trees / 3 = 20 trees. In total, he has planted 60 trees + 20 trees = 80 trees. The answer is 80.