Question

cilly uses 2 cups of raisins for every 12 cups of trail mix she makes. how many cups of trail mix will she make if she uses 8 cups of raisins? 12 cups, 1\frac{1}{3} cups, 48 cups, 3 cups

Explanation:

Step1: Set up proportion

Let $x$ = cups of trail mix. Proportion: $\frac{2}{12} = \frac{8}{x}$

Step2: Simplify left fraction

Simplify $\frac{2}{12}$ to $\frac{1}{6}$: $\frac{1}{6} = \frac{8}{x}$

Step3: Cross-multiply to solve for $x$

$1 \times x = 6 \times 8$
$x = 48$

Answer:

48 cups