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Bunuel
A certain recipe requires 3/2 cups of sugar and makes 2-dozen cookies. How many cups of sugar would be required for the same recipe to make 30 cookies?

(A) 8/15
(B) 5/6
(C) 6/5
(D) 10/7
(E) 15/8


Given: A certain recipe requires 3/2 cups of sugar and makes 2-dozen cookies.
Asked: How many cups of sugar would be required for the same recipe to make 30 cookies?

A certain recipe requires 3/2 cups of sugar and makes 2-dozen (24) cookies.
1 cookie requires = (3/2)/24 = 3/48 cups of sugar

30 cookies will require = \(\frac{3*30}{48}\) cups of sugar = \(\frac{15}{8}\) cups of sugar

IMO E
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Solution


Given:
    • A certain recipe requires \(\frac{3}{2}\) cups of sugar and makes 2-dozen cookies

To find:
    • The number of cups of sugar that would be required for the same recipe to make 30 cookies

Approach and Working Out:
    • Given \(\frac{3}{2}\) cups of sugar for 24 cookies
      o Implies, we need \(\frac{3}{2} * \frac{30}{24}\) cups of sugar for 30 cookies = \(\frac{3}{2} * \frac{5}{4} = \frac{15}{8}\)cups

Answer: E

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