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 ?
\(\boxed{Sugar Cups = 12}\)