Question

Dewayne recipe calls for 6 cups of water 1 1/2 cups of lemon juice and 1 1/2 cups of sugar. There are 16 cups in one gallon. How much lemon juice would Dwayne net to make lemonade if he uses 1 gallon of water?

Answer 1

4 cups of lemon juice

Explanation:

1. There are 16 cups in one gallon. Therefore, if Dwayne uses 1 gallon of water, he is using 16 cups.

2. The recipe states that for every 6 cups of water used, 1 1/2 cups of lemon juice should be used. Knowing this, we can come up with a conversion factor that is written in fraction form.

• 
  `(3/2 lemon)/(6water)`

3. Because we have a conversion factor, we can multiply this by the 16 cups of water that Dwayne is using to calculate how much lemon juice he needs.

• 
  `16water*(3/2 lemon)/(6water)=4 lemon` (water unit cancels out)