Q: Anthony keeps a bottle of vinegar in his cupboard for 2 years. Each year 20% of the vinegar evaporates. What percent of the vinegar is left after 2 years?
A: First find what percent of the vinegar is still in the bottle after each year: 100% - 20% = 80%. Then multiply the amount of vinegar left after one year by the percentage left after each year to find how much is left after 2 years: 80% * 80% = 64%. The answer is 64.
Question: Hamza has several empty buckets of different sizes, holding either 3, 5, or 6 liters. She fills the 5-liter bucket and pours as much as she can into the 3-liter bucket. Then, she pours the remainder into the 6-liter bucket. How much more water, in liters, can she put into the 6-liter bucket, without overflowing?
Answer: Pouring the 5 - liter bucket into the 3 - liter bucket leaves 5 - 3 = 2 liters, which go into the 6 - liter bucket. Then there are 6 - 2 = 4 liters that can be added. The answer is 4.
[Question]There's an online sale where you get $10 for every $100 that you spend. If you make a purchase of $250 before discounts, how much did you end up paying?
[Answer]If for every $100 spent I save $10, then for $250 spend I'd save $10 * 2 = $20. If my total was $250, then I ended up paying $250 - $20 = $230. The answer is 230.
Q: Darryl sells melons on the side of the road. He sells cantaloupes for $2 each and honeydews for $3. He started the day with 30 cantaloupes and 27 honeydews. He accidentally dropped a couple of cantaloupes and three of the honeydews turned out to be rotten. At the end of the day he had 8 cantaloupes and 9 honeydews left. How much money did he make?
A: He dropped two cantaloupes and had 8 left over at the end of the day, so he sold 30 - 2 - 8 = 20 cantaloupes. Three honeydews were rotten, and he had 9 left at the end of the day, so he sold 27 - 3 - 9 = 15 honeydews. He sold 20 cantaloupes * $2 / cantaloupe = $40 in cantaloupes. He also sold 15 honeydews * $3 / honeydew = $45 in honeydews. Altogether he made $40 + $45 = $85. The answer is 85.
Question: It takes 320 rose petals to make an ounce of perfume. If each rose produces 8 petals, and there are 12 roses per bush, how many bushes will Fern have to harvest to make 20 12-ounce bottles of perfume?
Answer: First find the number of roses needed for one ounce of perfume: 320 petals / 8 petals / rose = 40 roses. Then multiply the number of roses needed for one ounce by the number of ounces per bottle to find the number of roses per bottle: 40 roses / ounce * 12 ounces / bottle = 480 roses / bottle. Then multiply that number by the number of bottles to find the total number of roses needed: 480 roses / bottle * 20 bottles = 9600 roses. Then divide that number by the number of roses per bush to find the number of bushes Fern needs to harvest: 9600 roses / 12 roses / bush = 800 bushes. The answer is 800.
Q: Anais has 30 more toys than Kamari. There are 160 toys altogether. How many toys are there in Kamari's box?
A:
Let's say Kamari has x toys. Anais has x + 30 toys. Combined, Anais and Kamari have a total of x + x + 30 = 160 toys. Combining like terms, we get 2x + 30 = 160. Subtracting 30 from both sides, we get 2x = 130. Dividing both sides by 2, we get x = 65, so the total number of toys that Kamari has is 65. The answer is 65.