Question: The doctor told Barry to take vitamin D3 for 180 days to help protect him from infections. The pharmacy only sold vitamin D3 in bottles containing 60 capsules, with a daily serving size of 2 capsules. How many bottles would Barry need to buy to have enough servings to last for 180 days?
Answer: If each serving size is 2 capsules, a 60 - capsule bottle of vitamin D3 would contain 60 / 2 = 30 servings. Using 30 - serving bottles, to last 180 days, it would take 180 / 30 = 6 bottles of vitamin D3. The answer is 6.
[Question]UF got into the national championship. For them to get into the championship, they scored a total of 720 points during their previous 24 games. In the championship game, however, their opponent was much stronger than any other team they had previously gone against and they scored 2 points less than half as much as they had previously scored in each of the 24 games. Their opponent only lost by 2 points. How many points did their opponent score?
[Answer]They scored an average of 720 / 24 = 30 points in their previous games. Half that many would be 30 / 2 = 15 points. So in the finals, they scored 15 - 2 = 13 points. Their opponent thus scored 13 - 2 = 11 points. The answer is 11.
Q: Susan had a sum of money. She spent 1/5 of it in September, 1/4 of it in October, and $120 in November. After spending these amounts of money, she still had $540 left. How much money did she have at first?
A: Let X be the amount Susan had originally. Susan spent 1 / 5 * X in September, 1 / 4 * X in October, and $120 in November. Susan has X - 1 / 5 * X - 1 / 4 * X - $120 = $540 left. Combining like terms, we get 11 / 20 * X - $120 = $540. Adding $120 to both sides, we get 11 / 20 * X = $660. Dividing both sides by 11 / 20 we get X = $1200. The answer is 1200.
Question: A swimming pool is being emptied through a drain at the bottom of the pool and filled by a hose at the top. The drain can empty the pool in 4 hours and the hose can fill the pool in 6 hours. The pool holds 120 liters of water. If the pool starts filled with water, how much water will be left after 3 hours?
Answer: It takes the drain 4 hours to empty the pool, so it drains at a rate of 120 liters / 4 hours = 30 liters / hour. After 3 hours, the drain will have removed 3 * 30 = 90 liters of water from the pool. It takes the hose 6 hours to fill the pool, so it fills at a rate of 120 liters / 6 hours = 20 liters / hour. After 3 hours, the hose will have added 3 * 20 = 60 liters of water to the pool. After 3 hours, there will be 120 liters + 60 liters 90 liters = 90 liters of water left in the pool. The answer is 90.
[Question]The Franzia wine is three times as old as the Carlo Rosi, while the Carlo Rosi is four times older than the Twin Valley. Calculate the total age of the three brands of wine if the Carlo Rosi is 40 years old.
[Answer]If the Franzia wine brand is three times as old as the Carlo Rosi, then the Carlo Rosi is 3 * 40 = 120 years old. The total number of years the Carlo Rosi and the Franzia wine brands have been around is 120 + 40 = 160 years. The Carlo Rosi is four times older than the Twin Valley wine brand, meaning the Twin valley wine brand is 40 / 4 = 10 years old. Together, the three bands have a total of 10 + 160 = 170 years of existence. The answer is 170.
[Question]Diana earned $150 in July. She earned 3 times this amount in August. In September, She earned twice the money she earned in August. How much money did Diana earn over these three months?
[Answer]
The amount of money Diana earned in August is 3 * $150 = $450. The amount of money Diana earned in September is 2 * $450 = $900. The total amount of money Diana earned over the three months is $150 + $450 + $900 = $1500. The answer is 1500.