A recipe for a smoothie requires a ratio of fruit to yogurt of 4:1. If you use 20 cups of fruit, how many cops of yogurt are needed?

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5

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The ratio of fruit to yogurt is 4:1, meaning for every 4 cups of fruit, 1 cup of yogurt is needed.

Given that you use 20 cups of fruit, we can set up a proportion:

\[
\frac{4}{1} = \frac{20}{x}
\]

Cross-multiply to solve for \( x \) (the amount of yogurt):

\[
4x = 20
\]

\[
x = \frac{20}{4} = 5
\]

So, you will need **5 cups of yogurt**.

Would you like more details on the calculation?

Here are 5 related questions:
1. What would happen if the ratio of fruit to yogurt changed?
2. How would you adjust the yogurt if you used 16 cups of fruit?
3. If you wanted to make twice the amount of smoothie, how much fruit and yogurt would you use?
4. How does understanding ratios help in cooking and recipes?
5. How would the ratio change if you used 6 cups of yogurt instead?

**Tip**: Ratios can be scaled up or down to fit the total amount needed while keeping the same proportions.

A recipe for a smoothie requires a ratio of fruit to yogurt of 4:1. If you use 20 cups of fruit, how many cups of yogurt are needed?

Discover how to solve a smoothie recipe problem where the ratio of fruit to yogurt is 4:1. Learn how to calculate the amount of yogurt needed for 20 cups of fruit using proportions. This problem introduces key concepts in ratios and cross-multiplication, suitable for students in Grades 6-8.

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