[Question]Sam invested $10,000 and earned 20% interest compounded for 3 years. He then invested more until he had three times as much invested. The next year, he got a 15% return on his investment. How much money does he have now?
[Answer]After one year, Sam had $10,000 * 1.2 = $12,000. After two years, he had $12,000 * 1.2 = $14,400. After the third year, he had $14,400 * 1.2 = $17,280. He then invested more money until he had 3 * $17,280 = $51,840. The first year after that, he had $51,840 * 1.15 = $59,616. The answer is 59616.
Q: A town is holding a fireworks display for New Year’s Eve. They light enough fireworks to show the full year then light enough fireworks to write “HAPPY NEW YEAR” in the sky. They then light another 50 boxes of fireworks as part of the display. Each box of fireworks contains 8 fireworks. If it takes 6 fireworks to display a number and 5 fireworks to display a letter, how many fireworks are lit during the display?
A: Writing out the full year uses 4 numbers so this takes 4 numbers * 6 fireworks per number = 24 fireworks. “HAPPY NEW YEAR” contains 12 letters so this takes 12 letters * 5 fireworks per letter = 60 fireworks. There is therefore a total of 24 + 60 = 84 fireworks lit at the start of the display. From the boxes, they lit another 50 boxes * 8 fireworks per box = 400 fireworks. So in total, the whole display uses 84 + 400 = 484 fireworks. The answer is 484.
Question: Marcus has received a commission for as many paintings as possible. Marcus plans out his drawings so that his client can receive some of the paintings as soon as possible but it is still going to take a long time. On the first day, he paints 2 paintings. He then paints every day and each day, he paints twice as many paintings as he painted the day before. If he paints for 5 days, how many paintings will he have painted in total?
Answer: If Marcus creates 2 paintings on the first day, then he can paint 2 paintings * 2 = 4 paintings on the 2nd day. So he paints 4 paintings * 2 = 8 paintings on the 3rd day. He then paints 8 paintings * 2 = 16 paintings on the 4th day. And finally paints 16 paintings * 2 = 32 paintings on the 5th day. Marcus therefore has painted a total of 2 + 4 + 8 + 16 + 32 = 62 paintings. The answer is 62.
[Question]Salvadore earned $1956. Santo earned half of what Salvadore earned. How much money did the two men earn together?
[Answer]Santo = (1 / 2) 1956 = $978. 1956 + 978 = $2934. Together Salvadore and Santo earned $2934. The answer is 2934.
Q: Gargamel needed new tires for his truck. He went to the auto shop and bought 4 tires on sale for $75 each. The salesman told him that he saved a total of $36. If Gargamel saved the same amount on each tire, what was the original price of each tire?
A: Gargamel saved $36 for all four tires, so to find the savings per tire was $36 / 4 = $9 saved per tire. Adding the savings to the discount price, the original price was $75 + $9 = $84. The answer is 84.
Question: Bob is building a garden on his land, and he wants it to be fenced in to keep out varmints. The garden is a rectangular plot 225 feet long by 125 feet wide. He also wants to have a small 3-foot wide gate to walk through and a larger 10-foot wide gate to move his gardening equipment through. How much fencing is Bob going to need to fence in his garden, taking into account the two gates?
Answer:
The perimeter of the garden is 2 * 225 + 2 * 125 = 450 + 250 = 700 feet. Minus the two gates, he will need at least 700 - 3 - 10 = 687 feet of fencing. The answer is 687.