Question: Roger bought a house for $100,000. He was able to pay 20% down, and his parents paid off an additional 30% of the remaining balance. How much money does Roger still owe on his house?
Answer: 100000(.20) = 20000$ down payment. 100000 - 20000 = $80000 remaining. 80000(.30) = 24000. 80000 - 24000 = 56000$. The answer is 56000.
[Question]A special balloon increases by two-fifths of its previous volume every hour when placed under water. If its original volume is 500cm, what will its volume be after 2 hours underwater?
[Answer]In the first hour, the balloon will increase in volume by two - fifths of 500cm which is (2 / 5) * 500cm = 200cm. After the first hour, it will have a volume of (500 + 200)cm = 700cm. In the second hour, it will increase in volume by two - fifths of 700cm which is (2 / 5) * 700cm = 280cm. After the second hour, it's volume will be (700 + 280)cm = 980cm. The answer is 980.
Q: Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?
A: Susie has 572 x 1 / 4 = 143 red beans. There were 572 - 143 = 429 beans that are not red. There are 429 x 1 / 3 = 143 white beans. So, there were 429 - 143 = 286 beans left. Therefore, 286 / 2 = 143 beans are green. The answer is 143.
Question: There are 516 cars in a parking lot. One-third are blue, one-half are red, and the rest are black. How many black cars are on the lot?
Answer: Blue = 516 * (1 / 3) = 172 cars. Red = 516 * (1 / 2) = 258. Black = 516 - (172 + 258) = 86. There are 86 black cars on the lot. The answer is 86.
[Question]Emery's family decides to travel for a weekend trip. They drive the first 100 miles in 1 hour. They stop at a McDonald's and then continue the rest of the journey for 300 miles. What's the total number of hours they traveled?
[Answer]If the first 100 miles took one hour, then let's say the next 300 miles took x hours. if 100 miles = 1 hour, then 300 miles = x. To find the number of hours traveled for the 300 miles, x = 300 * 1 / 100. x = 3 hours. The total number of hours will be 3 + 1 = 4 hours. The answer is 4.
[Question]Josh has 100 feet of rope. He cuts the rope in half, and then takes one of the halves and cuts it in half again. He grabs one of the remaining pieces and cuts it into fifths. He's stuck holding one length of the rope he's most recently cut. How long is it?
[Answer]
John starts with 100ft of rope that he cuts in half, meaning he has 100 / 2 = 50 - foot sections of rope. He then takes one of these sections and cuts it in half again, leaving him with two 50 / 2 = 25 - foot sections of rope. He then takes one of these sections and cuts it into fifths, leaving him with 25 / 5 = 5 foot sections of rope, one of which he is now holding. The answer is 5.