Consider the Q and A. Q: Kara mixes cups of sugar and water in the ratio of 1:2 to make one liter of lemonade. Calculate the total number of cups of sugar used if she used 84 cups to make lemonade.
A: 28
What is the step-by-step reasoning process?
Step-by-step reasoning process: The total ratio for the cups of sugar and water needed to make lemonade is 1 + 2 = 3. In the 3 cups needed to make one liter of lemonade, the fraction representing the cups of sugar needed is 1 / 3. If she used 84 cups while making lemonade, she used 1 / 3 * 84 = 28 cups of sugar.

Consider the Q and A. Q: Vivian is responsible for making sure her students get 2 15-minute recess breaks a day, a 30-minute lunch and another 20-minute recess break. How much time do her students spend outside of class?
A: 80
What is the step-by-step reasoning process?
Step-by-step reasoning process: They get 2 15 minute breaks a day so that’s 2 * 15 = 30 minutes. They get 30 minutes for lunch and 20 minutes for recess plus an additional 30 minutes of recess for a total of 30 + 20 + 30 = 80 minutes spent outside of class.

Consider the Q and A. Q: Hendricks buys a guitar for $200, which is 20% less than what Gerald bought the same guitar for. How much did Gerald pay for his guitar?
A: 250
What is the step-by-step reasoning process?
Step-by-step reasoning process: Let G be the price Gerald paid for his guitar. Then 0.8 * G = $200. So G = $200 / 0.8 = $250.

Consider the Q and A. Q: Every hour past noon shadows from a building stretch an extra 5 feet, starting at zero at noon. How long are the shadows from the building 6 hours past noon in inches?
A: 360
What is the step-by-step reasoning process?
Step-by-step reasoning process:
If the shadows lengthen by 5 feet per hour, this means that in 6 hours the shadows would have lengthened from zero to 5 * 6 = 30 feet. Since there are 12 inches in every foot, this means the building's shadow would be 30 * 12 = 360 inches in length.