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]Rhonda, Sally, and Diane are members of their school's track team. The three of them run the 600-meter relay race together. Rhonda runs the first 200 meters of the race, Sally runs the second 200 meters of the race, and Diane runs the final 200 meters of the race. Rhonda can run 200 meters in 24 seconds. Sally takes two seconds longer to run the same distance, while Diane can run 200 meters three seconds faster than Rhonda. How many seconds does it take for the three of them to run the 600-meter relay race?
[Answer]Sally takes 24 + 2 = 26 seconds. Diane takes 24 - 3 = 21 seconds. Thus, the three take 24 + 26 + 21 = 71 seconds to run the 600 - meter relay race. The answer is 71.
Q: Viviana has five more chocolate chips than Susana, while Susana has 3/4 as many vanilla chips as Viviana. If Viviana has 20 Vanilla chips and Susana 25 chocolate chips, calculate the total number of chips they have together.
A: Viviana has 20 Vanilla chips. Susana has 25 chocolate chips. Viviana has 25 + 5 = 30 chocolate chips. Susana has 3 / 4 * 20 = 15 Vanilla chips. They have 30 + 25 = 55 chocolate chips together. Together they have 20 + 15 = 35 vanilla chips. Together they have 35 + 55 = 90 chips. The answer is 90.
Question: Sam has 19 dimes and 6 quarters. She buys 4 candy bars for 3 dimes each and 1 lollipop for 1 quarter. How much money, in cents, does she have left?
Answer: The candy bars cost 4 * 3 = 12 dimes. Sam has 19 - 12 = 7 dimes left. Sam has 6 - 1 = 5 quarters left. Sam has 7 * 10 + 5 * 25 = 195 cents left. The answer is 195.
[Question]Mandy started reading books with only 8 pages when she was 6 years old. By the time she was twice that age, she was reading books 5 times longer, and 8 years later, she was reading books 3 times longer than that. Presently, she reads books that are 4 times the previous length. How many pages do the books she reads now have?
[Answer]Twice the age of 6 is 6 x 2 = 12 years old. At 12 years old, Mandy was reading books 5 x 8 = 40 pages long. 8 years later, Mandy was 12 + 8 = 20 years old. At 20 years old, Mandy was reading books 3 x 40 = 120 pages long. Presently, she reads books that are 120 x 4 = 480 pages long. The answer is 480.
[Question]Peter and Andrew like to run in the morning. Peter runs 3 miles more than Andrew's 2 miles. After 5 days, how many miles have they both run?
[Answer]
Peter runs 3 miles more than Andrew's 2 miles, so he runs 3 + 2 = 5 miles. Peter runs 5 miles a day and Andrew runs 2 miles so they run 5 + 2 = 7 miles a day. If they run 7 miles a day then over a course of 5 days they run 7 * 5 = 35 miles. The answer is 35.