Question

A cupcake recipe makes $12$ cupcakes. The recipe calls for $2$ cups of granulated sugar and $2$ cups of powdered sugar. How many total cups of sugar will be required to make $42$ cupcakes?

• A. $8$
• B. $10$
• C. $12$
• D. $14$
• E. 16

Answer 1

The correct option is D

$14$

Explanation for the correct option:

Find the required amount of sugar:

$12$ cupcakes needed sugar $=(2+2)=4$ cups

$42$ cupcakes needed sugar $=\frac{42\times 4}{12}$ cups $\mathrm{\left[}\mathrm{\because }\frac{\mathrm{a}}{\mathrm{b}}\mathrm{}\mathrm{=}\frac{\mathrm{c}}{\mathrm{x}}\mathrm{}\mathrm{\Rightarrow }\mathrm{x}\mathrm{=}\frac{\mathrm{b}\mathrm{\times }\mathrm{c}}{\mathrm{a}}\mathrm{\right]}$

$=14$ cups

The total sugar needed for $42$ cupcakes is $14$cups.

Hence, option(4) is the correct answer.