Question: An archaeologist discovered three dig sites from different periods in one area. The archaeologist dated the first dig site as 352 years more recent than the second dig site. The third dig site was dated 3700 years older than the first dig site. The fourth dig site was twice as old as the third dig site. The archaeologist studied the fourth dig site’s relics and gave the site a date of 8400 BC. What year did the archaeologist date the second dig site?
Answer: The third dig site was dated from the year 8400 / 2 = 4200 BC. Thus, the first dig site was dated from the year 4200 - 3700 = 500 BC. The second dig site was 352 years older, so it was dated from the year 500 + 352 = 852 BC. The answer is 852.
[Question]Brad’s zip code consists of five numbers that add up to 10. The first and second numbers are the same. The third number is zero. The fourth number is double the first number. The fourth and fifth numbers add up to 8. What is Brad’s zip code?
[Answer]The five numbers add up to 10, so the first three numbers add up to 10 - 8 = 2. The third number is 0, so the first two numbers add up to 2 - 0 = 2. The first and second numbers are equal, so they are both 2 / 2 = 1. The fourth number is double the first number, so it is 2 * 1 = 2. The fifth number is 8 - 2 = 6. Thus, Brad’s zip code is 11026. The answer is 11026.
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: A 40 meters rope was cut into 2 parts in the ratio of 2:3. How long is the shorter part?
Answer: The rope was cut into 2 + 3 = 5 parts. So each part is 40 / 5 = 8 meters long. Since the shorter part is consists of 2 parts, then it is 8 x 2 = 16 meters long. The answer is 16.
[Question]Harry is ordering pizza. A large pizza is 14. It costs $2 per topping. He orders 2 large pizzas, each with 3 toppings. He then adds a 25% tip. What is the total cost?
[Answer]The toppings on each pizza are $6 because 3 x 2 = 6. The total for each pizza is $20 because 14 + 6 = 20. The pizzas cost $40 because 2 x 20 = 40. The tip is $10 because 40 x .25 = 10. The total is $50 because 40 + 10 = 50. The answer is 50.
[Question]For every 1 minute that Carlotta sings on stage during the final opera performance, she spends an additional 3 minutes practicing and 5 minutes throwing temper tantrums. If her final stage performance is 6 minutes long, what is the total combined amount of time, in minutes, that she spends practicing, throwing tantrums, and singing in the final stage performance?
[Answer]
For each 6 minutes she performs, Carlotta spends 6 * 3 minutes = 18 minutes practicing. For each 6 minutes she performs, Carlotta throws tantrums for 6 * 5 minutes = 30 minutes. Thus, in total, for each 6 minutes of performance time, she spends 18 minutes + 30 minutes + 6 minutes = 54 minutes on all three activities. The answer is 54.