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 ?
Mathematics
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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 ?
1 Answer

1. User Answers dexteright02
Data:
[tex] \frac{sugar}{chocolate} = \frac{2}{4} [/tex]
cups of these ingredients = 36
Solving:
[tex] \frac{S}{2} + \frac{C}{4} = \frac{36}{6} [/tex]
[tex] \frac{S}{2} = \frac{36}{6} [/tex]
[tex]6*S = 2*36[/tex]
[tex]6S = 72[/tex]
[tex]S = \frac{72}{6} [/tex]
[tex]\boxed{S = 12}[/tex]
[tex] \frac{C}{4} = \frac{36}{6} [/tex]
[tex]6*C = 4*36[/tex]
[tex]6S = 144[/tex]
[tex]C = \frac{144}{6} [/tex]
[tex]\boxed{C = 24}[/tex]
So:
cups of these ingredients = 36
S+C = 12+24 = 36 (True)
How many cups were sugar ?
[tex]\boxed{Sugar Cups = 12}[/tex]