Question: Haley is making cider. It takes 20 golden delicious apples and 40 pink lady apples to make one pint of cider. Each of her 6 farmhands can pick 240 apples per hour and will work 5 hours today. How many pints of cider can Haley make with the apples gathered today, provided that the ratio of golden delicious apples to pink lady apples gathered is 1:2?
Answer with step-by-step thinking: First figure out how many apples total are needed for one pint of cider: 20 golden delicious / pint + 40 pink lady / pint = 60 apples / pint. Then multiply that number by 8 to find the number of apples needed for a gallon of cider: 60 apples / pint * 8 pints / gallon = 480 apples / gallon. Now find how many apples per hour all 8 farmhands pick: 240 apples / hour / farmhand * 6 farmhands = 1440 apples / hour. Then multiply that amount by the number of hours worked to find the total number of apples gathered: 1440 apples / hour * 5 hours = 7200 apples. Divide the total number of apples gathered by the number of apples used by gallon to find the number of gallons of cider made: 7200 apples / 480 apples / gallon = 15 gallons. Since there are 8 pints in a gallon, the final answer is 15 gallons * 8 pints / gallon = 120 pints.
So the answer is 120.


Question: Joey has 30 pages to read for history class tonight. He decided that he would take a break when he finished reading 70% of the pages assigned. How many pages must he read after he takes a break?
Answer with step-by-step thinking: Joey will take a break after 30 * 0.7 = 21 pages. Joey will have to read 30 - 21 = 9 pages more.
So the answer is 9.


Question: Tony has a piece of quilt that is 6 feet by 24 feet. If he wants to turn it into a square and use all the fabric, how long is each side of the square?
Answer with step-by-step thinking:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
The quilt is 144 square feet because 6 x 24 = 144. A square quilt would be 12 feet per side because √(144) = 12.
So the answer is 12.