Question

To make lemonade, I fill a 6-quart jar with 2 3/4 quarts of lemon juice and fill the rest with water. How many quarts of water will it take to fill the jar?

Answer 1

It will take 3 1/4 quarts of water to fill the 6-quart jar after adding 2 3/4 quarts of lemon juice. The solution involves subtracting the amount of lemon juice from the jar's capacity.

Step-by-step explanation:

The question asks how many quarts of water are needed to fill a 6-quart jar if it already contains 2 3/4 quarts of lemon juice. To find the answer, we subtract the amount of lemon juice from the total capacity of the jar:

• Total jar capacity: 6 quarts
• Lemon juice: 2 3/4 quarts

First, we convert 2 3/4 quarts to an improper fraction: (2 × 4) + 3 = 8 + 3 = 11/4 quarts. Then we subtract this amount from 6 quarts (converted to 24/4 quarts for a common denominator):

1. 24/4 (total capacity) - 11/4 (lemon juice) = 13/4 quarts
2. Convert 13/4 quarts back to a mixed number: 3 1/4 quarts of water

Therefore, it will take 3 1/4 quarts of water to fill the rest of the jar. This process involves the subtraction of fractions and conversion of mixed numbers for the preparation of lemonade.