Question

The ratio of cups of sugar to cups of chocolate chips in a recipe is 2 : 4 if 36 cups of these ingredients are used, how many cups were sugar ?

Answer 1

Data:

$\frac{sugar}{chocolate} = \frac{2}{4}$
cups of these ingredients = 36

Solving:

$\frac{S}{2} + \frac{C}{4} = \frac{36}{6}$

$\frac{S}{2} = \frac{36}{6}$
$6*S = 2*36$
$6S = 72$
$S = \frac{72}{6}$
$\boxed{S = 12}$


$\frac{C}{4} = \frac{36}{6}$
$6*C = 4*36$
$6S = 144$
$C = \frac{144}{6}$
$\boxed{C = 24}$

So:
cups of these ingredients = 36
S+C = 12+24 = 36 (True)

How many cups were sugar ?

$\boxed{Sugar Cups = 12}$