[Question]Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[Answer]Percentage means per 100, so if she still owes 75%, she must have paid 100% - 75% = 25% of the original amount. 25% of the original amount = (25 / 100) * original amount = $125. Multiplying both sides by (100 / 25) gives: original amount = (100 / 25) * $125 = $500. The answer is 500.
Q: In 5 years, Nacho will be three times older than Divya. If Divya is currently 5 years old, what's the sum of their ages now?
A: If Divya is currently 5 years old, she will be 5 + 5 = 10 years old in five years. Since in 5 years Nacho will be three times older than Divya, he will be 3 * 10 = 30 years older than Divya. Nacho's total age in five years will be 30 + 10 = 40 years. Currently, Nacho is 40 - 5 = 35 years old. The sum of Divya and Nacho's age now is 35 + 5 = 40 years. The answer is 40.
Question: Ali and Leila reserve their places for a trip to Egypt. The price is $147 per person, but they were each given a discount of $14 since there are two of them. How much does their trip cost?
Answer: After the discount, the price will be $147 - 14 = $133. For both Ali and Leila together, it will cost $133 * 2 = $266. The answer is 266.
[Question]On Monday, while at work on the farm, Jeremy picks 100 oranges. On Tuesday, together with his brother, they pick thrice as much. On Wednesday he feels tired and is only able to pick 70 oranges. What's the total number of oranges they have?
[Answer]On Monday he picks 100 oranges. On Tuesday, they pick thrice as much, which will be 3 * 100 = 300 oranges. The total number of oranges picked now is 300 + 100 = 400 oranges. On Wednesday, he adds 70 more, which will now be 400 + 70 = 470 oranges. The answer is 470.
Q: A group of science students went on a field trip. They took 9 vans and 10 buses. There were 8 people in each van and 27 people on each bus. How many people went on the field trip?
A: The vans held 9 vans * 8 people = 72 people. The buses held 10 buses * 27 people = 270 people. The total number of people on the field trip is 72 + 270 = 342 people. The answer is 342.
Question: Leo has to write a 400-word story for his literature class. 10 words fit on each line of his notebook and 20 lines fit on each page. Lucas has filled one and a half pages. How many words does he have left to write?
Answer:
Half a page is 20 / 2 = 10 lines. In total, he has written 20 + 10 = 30 lines. The 30 lines written are 30 * 10 = 300 words. Lucas has 400 - 300 = 100 words left to write. The answer is 100.