Question

you mix soda water, fruit punch concentrate and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. how many pints of each ingredient should you use to make 4 gallons of fruit punch?

you should use \\(\square\\) pints of soda water

you should use \\(\square\\) pints of fruit punch concentrate

you should use \\(\square\\) pints of ginger ale

Explanation:

Step1: Convert gallons to pints

We know that 1 gallon = 8 pints. So, 4 gallons = \( 4\times8 = 32 \) pints.

Step2: Find the total parts of the ratio

The ratio of soda water : fruit punch concentrate : ginger ale is \( 1:2:5 \). The total number of parts is \( 1 + 2 + 5 = 8 \) parts.

Step3: Find the amount per part

Total pints of fruit punch is 32 pints, and total parts is 8. So, amount per part = \( \frac{32}{8}=4 \) pints per part.

Step4: Calculate amount of each ingredient

• Soda water: 1 part. So, \( 1\times4 = 4 \) pints.
• Fruit punch concentrate: 2 parts. So, \( 2\times4 = 8 \) pints.
• Ginger ale: 5 parts. So, \( 5\times4 = 20 \) pints.

Answer:

You should use \(\boldsymbol{4}\) pints of soda water.
You should use \(\boldsymbol{8}\) pints of fruit punch concentrate.
You should use \(\boldsymbol{20}\) pints of ginger ale.