Start by finding the unit rate for Elyse’s recipe. You need to find the number of cups of lemonade concentrate per 1 cup of water. What can you divide 1

7
3

cups of water by to find 1 cup of water?
Elyse's Lemonade Recipe
÷
Water
(cups) Lemonade Concentrate
(cups)
1
7
3


2
1


1 ?

1 answer

To find the unit rate of lemonade concentrate per 1 cup of water, you need to find the ratio of lemonade concentrate to water and then adjust it to a 1 cup of water situation.

Elyse's recipe provides:

  • Water: 173 cups
  • Lemonade Concentrate: 212 cups, which can be written as 52 cups (since 212 = 2+12=42+12=52).

Next, to find out how many cups of lemonade concentrate correspond to 1 cup of water, we can set up the ratio:

Lemonade Concentrate:Water=52:173

Now, we want to find the concentrate per 1 cup of water:

To do this, we divide both sides of the ratio by 173:

Concentrate per 1 cup of water=52173=52×317

Calculating this gives:

5×32×17=1534

Thus, the unit rate is 1534 cups of lemonade concentrate per 1 cup of water.