Question

1. riley needs to make punch for a reunion. one batch of punch has the ingredients shown. write and interpret a ratio that compares the cups of orange juice to the total cups in one batch of punch. then find the cups of orange juice needed to make enough punch to fill a punch bowl that hold 27 cups. (example 2)

item	cups
lemon lime soda	1
orange juice	2
pineapple juice	2

Explanation:

Step1: Calculate total cups per batch

Add cups of all ingredients: $4 + 1 + 2 + 2 = 9$ cups.

Step2: Write orange juice to total ratio

Orange juice = 2 cups, so ratio is $2:9$.

Step3: Interpret the ratio

For every 9 total cups of punch, there are 2 cups of orange juice.

Step4: Find orange juice for 27 cups

Set up proportion: $\frac{2}{9} = \frac{x}{27}$. Solve: $x = \frac{2 \times 27}{9} = 6$.

Answer:

Ratio: $2:9$; Interpretation: There are 2 cups of orange juice for every 9 total cups of punch; 6 cups of orange juice needed for 27 cups of punch.