Question: At the bookstore, Sarah bought 6 paperback books and 4 hardback books. Her brother bought one-third as many paperback books as Sarah bought, and two times the number of hardback books that she bought. How many books did her brother buy in total?
Answer: Her brother bought 6 / 3 = 2 paperbacks. He bought 4 * 2 = 8 hardbacks. In total he bought 2 + 8 = 10 books. The answer is 10.
[Question]Karen is packing her backpack for a long-distance hike. She packs 20 pounds of water, 10 pounds of food, and 20 pounds of gear. During her hike, she drinks 2 pounds of water per hour and eats 1/3rd the weight of food per hour as water per hour. How much weight is she carrying after six hours?
[Answer]First find the weight of food Karen eats every hour: 2 pounds * 1 / 3 = 2 / 3 pounds food. Then find the total amount of weight Karen's backpack loses per hour she hikes: 2 pounds water / hour + 2 / 3 pound food / hour = 8 / 3 pounds / hour. Multiply this by the number of hours she hikes to find the total amount of weight she loses: 8 / 3 pounds / hour * 6 hours = 16 pounds. Add the weight of all her items to find total starting weight: 20 pounds + 10 pounds + 20 pounds = 50 pounds. Then subtract the weight she loses from the starting weight to find the weight after 6 hours: 50 pounds - 16 pounds = 34 pounds. The answer is 34.
Q: Jim starts with $80 in his investment portfolio. After 1 year it grows by 15%. He then adds another $28 to his portfolio. After 1 more year the combined portfolio grows by 10%. What is his final portfolio worth after 2 years from when he started?
A: After 1 year Jim has gained $80 * 0.15 = $12. Therefore, after 1 year his portfolio has grown to $80 + $12 = $92. He then adds $28 to this total, so his new portfolio total is $92 + $28 = $120 at the beginning of year 2. Next, this total grows by 10%, so he gains $120 * 0.10 = $12 across year 2. Thus, after year 2, his portfolio is worth $120 + $12 = $132. The answer is 132.
Question: John decides to learn how to play the piano. He buys a piano for $500. He then hires a teacher for 20 lessons at $40 per lesson but ends up getting a 25% discount. How much did everything cost?
Answer: The normal price of the lessons would be 20 * 40 = $800. The discount saves him 800 * .25 = $200. So the lessons cost him 800 - 200 = $600. That means everything costs 500 + 600 = $1100. The answer is 1100.
[Question]When Spencer jumps rope, he jumps 4 times per minute. He jumps for 10 minutes each session and does 2 sessions each day. How many jumps will Spencer do in 5 days?
[Answer]In 1 session he jumps 4 times / minute * 10 minutes = 40 times. In 5 days he does 2 sessions / day * 5 days = 10 sessions. He jumps 10 sessions * 40 times / session = 400 times in 5 days. The answer is 400.
[Question]198 passengers fit into 9 buses. How many passengers fit in 5 buses?
[Answer]
198 passengers / 9 buses = 22 passengers fit in one bus. 22 passengers / bus * 5 buses = 110 passengers fit in 5 buses. The answer is 110.