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

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: \(\frac{17}{3}\) cups
• Lemonade Concentrate: \(2\frac{1}{2}\) cups, which can be written as \(\frac{5}{2}\) cups (since \(2\frac{1}{2}\) = \(2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2}\)).

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

\[ \text{Lemonade Concentrate} : \text{Water} = \frac{5}{2} : \frac{17}{3} \]

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

To do this, we divide both sides of the ratio by \(\frac{17}{3}\):

\[ \text{Concentrate per 1 cup of water} = \frac{\frac{5}{2}}{\frac{17}{3}} = \frac{5}{2} \times \frac{3}{17} \]

Calculating this gives:

\[ \frac{5 \times 3}{2 \times 17} = \frac{15}{34} \]

Thus, the unit rate is \(\frac{15}{34}\) cups of lemonade concentrate per 1 cup of water.