Mathematics

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

  • 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]
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