Question: Jenny is planning her catering budget for her wedding. She's going to have 80 guests. 3 times as many guests want steak as chicken. If each steak entree costs $25 and each chicken entree costs $18, how much is the total catering budget?
Answer: Let s be the number of guests who want steak and c be the number who want chicken. We know that s + c = 80 and s = 3c. Substituting the second equation into the first equation, we get 3c + c = 80. Combining like terms, we get 4c = 80. Dividing both sides by 4, we get c = 20. Then multiply the number of guests who want chicken by the cost of each chicken entree: 20 guests * $18 / guest = $360. Then triple the number of guests who want chicken to find the number who want steak: 20 guests * 3 = 60 guests. Then multiply the number of guests who want steak by the cost of each steak entree: 60 guests * $25 / guest = $1500. Then add the cost of the steak and chicken entrees to find the total cost: $1500 + $360 = $1860. The answer is 1860.
[Question]Jenny's local library received 50 visitors on Monday. On Tuesday, the library received twice that number. On the remaining days of the week, an average of 20 visitors went to the library. What's the total number of visitors who went to the library that week?
[Answer]On Monday, there were 50 visitors. On Tuesday, there were twice as many, so 2 * 50 = 100 visitors. The total number of visitors after Tuesday will be 100 + 50 = 150 visitors. For the remaining 5 days, an average of 20 visitors attended, giving a total of 5 * 20 = 100 visitors. The total number of visitors who visited the library for the week was 100 + 150 = 250 visitors. The answer is 250.
Q: In Mary's class, there are 25 students. Their teacher told them they could pay $50 each to finance a big science project that they and their society would benefit greatly from. They all paid the full amount except for 4 students, who paid half. How much was the class able to gather together?
A: The original amount is $50 so half is $50 / 2 = $25. 4 students paid half ($25) for a total of 4 * $25 = $100. There are 25 - 4 = 21 students left. 21 students paid the full amount ($50) for a total of 21 * $50 = $1050. They were able to gather a total of $100 + $1050 = $1150. The answer is 1150.
Question: If a tarantula has eight legs, and one tarantula egg sac can contain 1000 tarantulas, how many baby tarantula legs would be in one less than 5 egg sacs?
Answer: One less than 5 is 5 - 1 = 4. If one tarantula egg sac can contain 1000 tarantulas, then four egg sacs can hold 4 * 1000 = 4000 tarantula babies. If each tarantula baby has eight legs, the 4 egg sacs can contain 4000 * 8 = 32,000 baby tarantula legs. The answer is 32000.
[Question]Chance boarded a plane departing from London to New York at 6:00 a.m. ET on Monday. He arrived in New York 18 hours later. If he took another plane flying to Cape town the day he arrived in New York and arrived in Cape town at 10:00 a.m ET on Tuesday, calculate the number of hours his flight took from New York to cape town.
[Answer]Eighteen hours later, after departing from London, Chance arrived in New York at 6:00 + 18 hours = 00:00 on Tuesday. If he arrived in cape town at 10:00 p.m. on Tuesday, his flight took 10:00 - 00:00 = 10 hours. The answer is 10.
[Question]Emma traveled by car 280 miles in 2 hours 20 minutes. What was the average speed of the car in miles per hour?
[Answer]
We first convert the time of 4 hours 20 minutes in minutes 2 hours 20 minutes = 2 × 60 + 20 = 140 minutes. Average speed S is given by distance / time. Hence S = 280 miles / 140 minutes = 2 mile / minute. There are 60 minutes in an hour so the speed is 2 * 60 = 120 miles / hour. The answer is 120.