Question

1. a smoothie recipe calls for:

• 5 pints of apple juice
• 2 quarts of lemon juice
• 3 cups of orange juice
• 1 quart of water

how many total cups of juice can this recipe make?
answer: ______ cups of juice

Explanation:

Step1: Recall unit conversions

We know that \( 1 \) pint \( = 2 \) cups and \( 1 \) quart \( = 4 \) cups.

Step2: Convert apple juice to cups

Apple juice is \( 5 \) pints. Since \( 1 \) pint \( = 2 \) cups, then \( 5 \) pints \( = 5\times2 = 10 \) cups.

Step3: Convert lemon juice to cups

Lemon juice is \( 2 \) quarts. Since \( 1 \) quart \( = 4 \) cups, then \( 2 \) quarts \( = 2\times4 = 8 \) cups.

Step4: Convert water to cups

Water is \( 1 \) quart. So \( 1 \) quart \( = 4 \) cups.

Step5: Orange juice is already in cups

Orange juice is \( 3 \) cups.

Step6: Sum all the cups

Now we sum up all the amounts in cups: apple juice (\( 10 \) cups) + lemon juice (\( 8 \) cups) + orange juice (\( 3 \) cups) + water (\( 4 \) cups). So \( 10 + 8 + 3 + 4 = 25 \) cups.

Answer:

25