Questions: Convert a recipe that serves 6 and calls for 3/4 cup sugar to one that serves 20.

Solution Steps

To convert the recipe, we need to find the scaling factor by dividing the desired number of servings (20) by the original number of servings (6). Then, multiply the original amount of sugar by this scaling factor to find the new amount of sugar needed.

To convert the recipe from serving 6 to serving 20, we calculate the scaling factor as follows: \[ \text{scaling factor} = \frac{\text{desired servings}}{\text{original servings}} = \frac{20}{6} = \frac{10}{3} \approx 3.3333 \]

Next, we multiply the original amount of sugar by the scaling factor: \[ \text{new sugar} = \text{original sugar} \times \text{scaling factor} = \frac{3}{4} \times \frac{10}{3} = \frac{10}{4} = 2.5 \]

Final Answer