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The recipe uses 80 g of sugar for 4 people. To calculate the amount of sugar needed for 16 people, we can set up a ratio.

\[
\frac{80 \text{ g}}{4 \text{ people}} = \frac{x \text{ g}}{16 \text{ people}}
\]

Cross-multiply to solve for \( x \):

\[
4x = 80 \times 16
\]
\[
4x = 1280
\]
\[
x = \frac{1280}{4} = 320 \text{ g}
\]

So, for 16 people, 320 grams of sugar are needed.

Would you like further clarification or details on this solution?

Here are 5 related questions:
1. What if the recipe were for 12 people instead of 16?
2. How would you adjust other ingredients proportionally?
3. What is the general formula for scaling recipes based on the number of people?
4. If you only have 240 g of sugar, how many people could you serve?
5. How would this change if you wanted to make half the recipe?

**Tip**: Always set up ratios when scaling recipes to ensure ingredients remain proportional!

A recipe for 4 people uses 80 g of sugar. How much sugar is needed to make the same recipe for 16 people? Give your answer in grams (g).

Learn how to scale a recipe for 16 people when the original recipe for 4 people uses 80 grams of sugar. This step-by-step solution shows you how to use ratios and cross-multiplication to solve the problem. Perfect for Grades 6-8.

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