Final answer:
To find the total amount of punch, the cups of grapefruit juice are added to the cups of lemon-lime soda, resulting in 17 4/5 cups of punch.
Step-by-step explanation:
Steve mixed together 7 cups of grapefruit juice and 10 4⁄5 cups of lemon-lime soda to make punch. To determine how many cups of punch Steve made, we simply need to add these two amounts together.
First, convert the mixed number to an improper fraction:
10 4⁄5 = (10 × 5) + 4 = 50 + 4 = 54/5 cups
Now we can add the cups of grapefruit juice:
7 cups + 54/5 cups = (7 × 5/5) + 54/5 = 35/5 + 54/5 = 89/5 cups
To convert this back to a mixed number, divide 89 by 5:
89 ÷ 5 = 17 with a remainder of 4, so we have 17 4⁄5 cups.
Steve made 17 4⁄5 cups of punch.