unit: ratios, rates, and proportions\nprogres...
unit: ratios, rates, and proportions\nprogress:\nthe movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.\norly uses 2 cups of raisins for every 9 cups of trail mix she makes. how many cups of trail mix will she make if she uses 12 cups of raisins?\n1\\frac{1}{2} cups\n9 cups\n2\\frac{2}{3} cups\n54 cups
Answer
# Answer:
D. 54 cups
# Explanation:
## Step1: Set up proportion
Let $x$ be cups of trail - mix. The proportion is $\frac{2}{9}=\frac{12}{x}$.
## Step2: Cross - multiply
$2x = 12\times9$.
## Step3: Calculate right - hand side
$12\times9 = 108$, so $2x=108$.
## Step4: Solve for $x$
$x=\frac{108}{2}=54$.