Q: A 750 ml bottle of spirits costs $30.00 and has 16 servings per bottle. Most restaurants will charge $8.00 for one serving. How much money does a restaurant make on a bottle of spirits?
A: There are 16 servings in 1 bottle and they charge $8.00 per serving so that's 16 * 8 = $128.00. 1 bottle yields $128.00 and they spent $30.00 for the bottle so they make 128 - 30 = $98.00 on each bottle. The answer is 98.
Question: Bob has a cube of silver that measures 3 inches on each side. A cubic inch of silver weighs 6 ounces. Each ounce of silver sells for $25. He sells it for 110% of its silver value. How much does he sell it for?
Answer: The silver has a volume of 3 * 3 * 3 = 27 cubic inches. So it weighs 27 * 6 = 162 ounces. So its value is 162 * 25 = $4050. That means he sold it for 4050 * 1.1 = $4455. The answer is 4455.
[Question]Beth had a set of 125 gold coins. Carl gave Beth a gift of an additional 35 gold coins. Then, Beth decided to sell half of her coins. How many coins did Beth sell?
[Answer]Carl's gift added 35 gold coins to Beth's 125 - coin set, resulting in 135 + 25 = 160 gold coins. Beth chooses to sell half, or 160 / 2 = 80 of her gold coins. The answer is 80.
Q: Bob has planted corn in his garden, and it has just started to sprout. A week after planting it, it had grown 2 inches. The next week, its height increased by twice as much as it had the first week. In the third week, it grew 4 times as much as it did the week before. How tall are the corn plants now?
A: The second week it grew twice as much as the first week, so 2 * 2 inches = 4 inches. The third week it grew 4 times as much as in the second week, so 4 * 4 inches = 16 inches. In total, it grew 2 inches + 4 inches + 16 inches = 22 inches. The answer is 22.
Question: John can read a book 60% faster than his brother. If his brother takes 8 hours to read a book, how long would it take John to read 3 books?
Answer: Reading 60% faster means John's brother takes 1 + .6 = 1.6 times as long as John to read. So John reads a book in 8 / 1.6 = 5 hours. So it would take John 5 * 3 = 15 hours to read 3 books. The answer is 15.
Q: Bob's school track is 400 meters. If Bob ran the first lap in 70 seconds, the second and third lap in 85 seconds each, what was his average speed in (m/s) for his entire run?
A:
If each lap is 400 meters long, then 3 laps will have a total distance of 400 * 3 = 1200 meters. The total time he ran was 70 on the first lap + 85 on the second one and 85 on the third lap, so his total running time was = 70 + 85 + 85 = 240 seconds. His average speed then is measured by the total distance he ran (1200) divided by the total time required (240) or 1200 / 240 = 5 m / s. The answer is 5.