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:
cups - Lemonade Concentrate:
cups, which can be written as cups (since = ).
Next, to find out how many cups of lemonade concentrate correspond to 1 cup of water, we can set up the ratio:
Now, we want to find the concentrate per 1 cup of water:
To do this, we divide both sides of the ratio by
Calculating this gives:
Thus, the unit rate is