Final answer:
To solve the equation 3 cups / 3 dozen equals x cups / 9 dozen, first find the total number of cups needed. Next, set up a proportion to solve for x. Finally, divide the number of cups by 3 to find the number of dozens.
Step-by-step explanation:
- First, find the total number of cups she needs. If there are 3 cups in one batch, and she is making 5 batches, then she will need: 3x5=15 cups
- Next, set up a proportion. 4 cups/1 quart=15 cups/x quarts
- Finally, divide the number of cups by 3 to find the number of dozens: 15/3=5 dozens