Question

Meg makes a flour blend at home using barley and wheat flour in a ratio of 2:3. How many ounces of barley does she use when she uses 27 ounces of wheat flour?

Answer 1

Answer:

18 ounces of barley

Step-by-step explanation:

If Meg uses barley and wheat flour in a ratio of 2:3, we can set up equivalent ratios in order to find how many ounces of barley Meg would need if she uses 27 ounces of wheat flour:

$\frac{barley}{wheat flour}$ = $\frac{2}{3}$ = $\frac{x}{27}$

We can solve for 'x' (the number of ounces of barley) using a few different methods.  We can cross-multiply and divide:  27(2) = 3x, or x = 18.  We can also see what factor we multiply the 3 by to get 27 and multiply the numerator (2) by the same number.  Since 3 x 9 = 27, then 2 x 9 = 18.