Question

lesson 7 exit ticket

the ratio of seltzer to fruit juice in raquels punch recipe is 3:4. how much seltzer and how much fruit juice will raquel need to make 42 cups of punch?

Explanation:

Identify the given ratio and total parts

$$ \text{Ratio of seltzer to fruit juice} = 3:4 $$

$$ \text{Total parts} = 3 + 4 = 7 $$

Calculate the value of one part

$$ \text{Total punch} = 42\text{ cups} $$

$$ \text{Value of one part} = \frac{42}{7} = 6\text{ cups} $$

Determine the required amounts of seltzer and fruit juice

$$ \text{Seltzer} = 3 \times 6 = 18\text{ cups} $$

$$ \text{Fruit juice} = 4 \times 6 = 24\text{ cups} $$

Answer:

Raquel will need 18 cups of seltzer and 24 cups of fruit juice.