Question

When preparing Lemonade, start with 2 qt lemon juice and add _____.

A. 5 cups sugar and 5 qt cold water
B. 5 cups sugar and 7 qt cold water
C. 7 cups sugar and 6 qt cold water
D. 7 cups sugar and 8 qt cold water

Answer 1

To make a Lemonade starting with 2 qt of lemon juice, you should add 5 cups of sugar and 7 qt of cold water (Option B). This is based on understanding proportion and unit conversion that is applied in the provided reference examples.

Step-by-step explanation:

When preparing Lemonade, if you start with 2 qt of lemon juice, the correct answer to what you should add is:

Option B. 5 cups sugar and 7 qt cold water

Looking at the proportion set up in the provided information (4 cups/1 quart = 15 cups/x quarts), you can solve for x to find out how many quarts are equivalent to 15 cups. Here's the step-by-step:

1. Multiply both sides of the proportion by x to get rid of the fraction on the right side (4 cups / 1 quart) * x = 15 cups.
2. You then get 4 cups × x = 15 cups × 1 quart.
3. Divide both sides by 4 cups to solve for x: x = (15 cups × 1 quart) / 4 cups.
4. Simplify the right side to find x: x = 15/4 quarts = 3.75 quarts.

The 3.75 quarts is the total amount of pineapple juice needed for 5 batches, each requiring 3 cups, as per the initial example question provided for reference. This conversion skill comes in handy when dealing with recipes or any other situation that requires unit conversion.