Question

a cook makes vegetable barley soup by mixing 2 pounds of barley into 7 quarts of vegetable broth. assume that the cook continues to use the same rate to make more batches of soup. how many pounds of barley should the cook mix with 35 quarts of broth? ______ pounds

Explanation:

Step1: Set up proportion equation

Let $x$ = barley for 35 qts.
$\frac{2}{7} = \frac{x}{35}$

Step2: Solve for $x$ via cross-multiplication

$7x = 2 \times 35$
$7x = 70$
$x = \frac{70}{7}$

Answer:

10 pounds