Final answer:
To find the amount of yogurt needed for a smoothie with 10 ounces of blueberries, we can set up a proportion using the given ratio of 2 to 5. Solving the proportion, we find that 25 ounces of yogurt would be needed.
Step-by-step explanation:
To find out how many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries, we can use the given ratio of 2 to 5. This means that for every 2 ounces of blueberries, we need 5 ounces of yogurt.
To find the amount of yogurt needed, we can set up a proportion:
2 ounces of blueberries / 5 ounces of yogurt = 10 ounces of blueberries / x ounces of yogurt
Cross multiplying, we get:
2x = 10 * 5
2x = 50
x = 50 / 2
x = 25
Therefore, 25 ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries.