[Question]Ariel began fencing in 2006. If she was born in 1992 and has been fencing for 16 years, how old is she now?
[Answer]If Ariel was born in 1992, she started fencing when she was 2006 - 1992 = 14 years old. Since she's been fencing for 16 years now, Ariel is 14 + 16 = 30 years old. The answer is 30.
Q: Taipei 101 in Taiwan is 1,673 feet tall with 101 floors. Suppose the first to 100th floors have height each equal to 16.5 feet, how high is the 101st floor?
A: The total height of the first to 100th floor is 100 x 16.5 = 1650 feet. Hence, the 101st floor is 1673 - 1650 = 23 feet high. The answer is 23.
Question: The state of Virginia had 3.79 inches of rain in March, 4.5 inches of rain in April, 3.95 inches of rain in May, 3.09 inches of rain in June and 4.67 inches in July. What is the average rainfall amount, in inches, in Virginia?
Answer: It rained for a total of 3.79 + 4.5 + 3.95 + 3.09 + 4.67 = 20 inches. The rain period is from March through July for a total of 5 months so the average rainfall is 20 / 5 = 4 inches of rain per month. The answer is 4.
[Question]Marta is weighing fruit at the grocery store. The apples weigh four ounces each and the oranges weight 3 ounces. Each plastic bag in the grocery store can hold 49 ounces of fruit before it splits. If Martha wants to put an equal number of apples and oranges in each bag, and she wants to buy 3 full bags of fruit, how many ounces of apples should she buy?
[Answer]First figure out how many ounces of fruit fit in three bags by multiplying the number of bags by the number of ounces per bag: 49 oz / bag * 3 bags = 147 oz. Since Marta wants the same number of apples and oranges in each bag, we know the fruits always come in pairs. Find the weight of each pair of fruit by adding the weight of one apple to the weight of one orange: 3 oz + 4 oz = 7oz. Now figure out how many pairs of fruit Marta needs to fill the bags by dividing the total weight in the bags by the weight of each pair of fruit: 147 oz / 7 oz = 21. Now multiply the number of apples Marta needs to buy (21) by the weight per apple (4 oz) to find how many ounces she should buy: 21 * 4 oz = 84 oz. The answer is 84.
Q: A tank can hold 100 liters of water. At the beginning of the rainy season, the tank is 2/5 filled with water. On the first day of the rainy season, the tank collected 15 liters of water. On the second day, 5 liters more water was collected than on the first day. On the third day, the tank was already filled. How many liters of water were collected on the third day?
A: At the beginning of the rainy season, the tank is filled with 100 x 2 / 5 = 40 liters of water. On the first day of the rainy season, the tank had 40 + 15 = 55 liters of water. On the second day, 15 + 5 = 20 liters of water were collected. So, the tank is filled with 55 + 20 = 75 liters of water on the second day. Therefore, 100 - 75 = 25 liters of water were collected on the third day. The answer is 25.
Question: Lucy lost one-third of her money. She then spent one-fourth of the remainder, and only left with $15. How much money did Lucy have at the beginning?
Answer:
The $15 is 1 - 1 / 4 = 3 / 4 of the money left. Since 3 / 4 is equal to $15, then 1 / 4 is equal to $15 / 3 = $5. So Lucy had $5 x 4 = $20 left after losing 1 / 3 of her money. Hence, $20 is 1 - 1 / 3 = 2 / 3 of the money that Lucy had at the beginning. Since 2 / 3 is equal to $20, then 1 / 3 is equal to $20 / 2 = $10. Therefore, Lucy had $10 x 3 = $30 at the beginning. The answer is 30.