[Question]Gloria has five times as many dimes as quarters in her graduation money. She decides to put 2/5 of the quarters aside for future use. If she has 350 dimes, calculate the combined number of quarters and dimes she has after putting aside 2/5 of the quarters?
[Answer]If the number of dimes is 20 times the number of quarters, she has 350 / 5 = 70 quarters. When she puts 2 / 5 of the quarters away, the number of quarters reduces by 2 / 5 * 70 = 28. She's now left with 70 - 28 = 42 quarters. In total, she has 42 quarters + 350 dimes = 392. The answer is 392.
Q: Timothy decides he wants to start living off the land. He buys 30 acres of land for $20 an acre. He then builds himself a large house for $120,000. After that, he gets himself 20 cows for $1000 per cow and 100 chickens for $5 per chicken. The last thing is solar panels which take 6 hours to install with an installation cost of $100 an hour and then a flat fee of $6000 for the equipment. How much did everything cost?
A: The land cost 30 * 20 = $600. The cows cost 20 * 1000 = $20,000. The chickens added another 100 * 5 = $500. The installation of the solar panels cost 6 * 100 = $600. So the total cost of everything was 600 + 120000 + 20000 + 500 + 600 + 6000 = $147,700. The answer is 147700.
Question: Josh has soccer practice on Monday, Wednesday, and Friday from 3:00 p.m. to 5:00 p.m. He has band practice on Tuesday and Thursday from 3:30 p.m. to 5:00 p.m. From Monday to Friday, how many hours does Josh spend on extracurricular activities?
Answer: Josh practices soccer 2 hours x 3 days = 6 hours. He practices band 1.5 hours x 2 days = 3 hours. From Monday to Friday, on extracurricular activities, Josh spends 6 + 3 = 9 hours. The answer is 9.
[Question]Spongebob works in a burger shop. If he sells 30 burgers for $2 each and 12 large fries for $1.5. How much will Spongebob earn for the day?
[Answer]Spongebob earned 30 x $2 = $60 for the burgers. He also earned 12 x $1.5 = $18 for the large fries. Therefore, Spongebob earned $60 + $18 = $78 for the day. The answer is 78.
Q: Françoise sells pots of lily of the valley to fund humanitarian work. She buys them at €12 each and sells them at a 25% higher cost. How much will she give back to the association by selling 150 pots of lily of the valley?
A: The benefit of selling one pot is 12 * 25 / 100 = €3. So, Françoise will give 150 * €3 = €450 to the association. The answer is 450.
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.