Question: Jackson wants to impress his girlfriend by filling her hot tub with champagne. The hot tub holds 40 gallons of liquid. Each bottle of champagne holds 1 quart. (There are 4 quarts per gallon). If each bottle of champagne costs $50, but Jackson gets a 20% volume discount, how much does he spend on champagne?
Answer: First find the number of quarts the hot tub holds by multiplying the number of gallons it holds by 4: 40 gallons * 4 quarts / gallon = 160 quarts. Then multiply the number of quarts of champagne Jackson buy by the normal price per bottle to find the cost before the discount: 160 quarts * $50 / quart = $8000. Then multiply that number by 20% to find the amount of the discount: $8000 * .2 = $1600. Finally, subtract the discount from the total cost to find the final amount Jackson pays: $8000 - $1600 = $6400. The answer is 6400.
[Question]Carol is an aviation engineer deciding how much fuel to put in a jet. The empty plane needs 20 gallons of fuel per mile. Each person on the plane increases this amount by 3 gallons per mile, and each bag increases it by 2 gallons per mile. If there are 30 passengers and 5 flight crew, and each person brought two bags, how many gallons of fuel does the plane need for a 400-mile trip?
[Answer]First find the total number of people by adding the number of passengers and flight crew: 30 people + 5 people = 35 people. Then find the total number of bags by doubling the total number of people: 35 people * 2 bags / person = 70 bags. Then find the fuel increase caused by the people by multiplying their number by the fuel increase per person: 35 people * 3 gallons / mile / person = 105 gallons / mile. Then multiply the number of bags by the fuel increase per bag to find the total fuel increase they cause: 70 bags * 2 gallons / mile / bag = 140 gallons / mile. Now add the fuel increases to the base fuel consumption to find the total fuel needed per mile: 140 gallons / mile + 105 gallons / mile + 20 gallons / mile = 265 gallons / mile. Now multiply the fuel consumption per mile by the number of miles flown to find the total amount of fuel needed: 265 gallons / mile * 400 miles = 106,000 gallons of fuel. The answer is 106000.
Q: Holly needs to take 2 insulin pills per day, 3 blood pressure pills per day, and twice as many anticonvulsants as blood pressure pills each day. How many pills does Holly take in a week?
A: First find the number of anticonvulsant pills Holly takes: 3 pills * 2 = 6 pills. Then find the total number of pills Holly takes each day: 6 pills + 2 pills + 3 pills = 11 pills. Then multiply that number by the number of days in a week to find the number of pills Holly takes each week: 11 pills / day * 7 days / week = 77 pills / week. The answer is 77.
Question: Cadence has worked for her new company five months longer than she worked for her old company. If she worked at her old company for 3 years earning $5000 per month, and she's now earning 20% more in the new company, calculate the total amount of money she's earned in both companies in the period she's worked for them?
Answer: In her old company, if she worked for three years, the total number of months she was paid for is 3 years * 12, which is the number of months in a year = 36 months. If each month she was paid $5000, her total earnings in the old company were $5000 * 36 = $180000. In her new company, she is paid 20% more, which is 20 / 100 * $5000 = $1000 per month more than what she was paid at the old company. In total, she earns $5000 + $1000 = $6000 per month in her new company. Since she's worked five months more in the new company than the old company, she has worked for 36 + 5 = 41 months in the new company. The total amount she's earned in the new company is $6000 * 41 = $246000. The combined total for both companies is $246000 + $180000 = $426000. The answer is 426000.
[Question]Mark has a garden with flowers. He planted plants of three different colors in it. Ten of them are yellow, and there are 80% more of those in purple. There are only 25% as many green flowers as there are yellow and purple flowers. How many flowers does Mark have in his garden?
[Answer]There are 80 / 100 * 10 = 8 more purple flowers than yellow flowers. So in Mark's garden, there are 10 + 8 = 18 purple flowers. Purple and yellow flowers sum up to 10 + 18 = 28 flowers. That means in Mark's garden there are 25 / 100 * 28 = 7 green flowers. So in total Mark has 28 + 7 = 35 plants in his garden. The answer is 35.
[Question]My cat's empty bowl weighs 420 grams. If I give my cat 60 grams per day and I always fill her bowl every 3 days, how much does her bowl weigh if after I ended up refilling her empty bowl she only ate 14 grams?
[Answer]
If I give my cat 60 grams per day and I fill it to last 3 days, then I put a total of 60 * 3 = 180 grams into her bowl. If the empty bowl weighs 420 grams and I put 180 grams the total weight is = 420 + 180 = 600 grams. If my cat only ate 14 grams then the bowl right now weighs 600 - 14 = 586 grams. The answer is 586.