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Sarah needs to make a cake and some cookies. The cake requires 3/8 cup

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Sarah needs to make a cake and some cookies. The cake requires 3/8 cup  [#permalink]

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New post 29 Jul 2019, 23:24
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  45% (medium)

Question Stats:

66% (02:06) correct 34% (02:13) wrong based on 65 sessions

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Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?

A. She has enough sugar.
B. She needs 1/8 of a cup of sugar.
C. She needs 3/80 of a cup of sugar.
D. She needs 4/19 of a cup of sugar.
E. She needs 1/9 of a cup of sugar.

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Re: Sarah needs to make a cake and some cookies. The cake requires 3/8 cup  [#permalink]

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New post 30 Jul 2019, 07:58
Bunuel wrote:
Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?

A. She has enough sugar.
B. She needs 1/8 of a cup of sugar.
C. She needs 3/80 of a cup of sugar.
D. She needs 4/19 of a cup of sugar.
E. She needs 1/9 of a cup of sugar.


sugar she nees; 3/8+3/5 ; 39/40 which is more than what she has i.e 15/16
so she requires additional 39/40-15/16 ; 78-75/80 = 3/80
IMO C
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Sarah needs to make a cake and some cookies. The cake requires 3/8 cup  [#permalink]

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New post 30 Jul 2019, 09:36
Given:

Sarah has : \(\frac{15}{16}\) Cups of Sugar. ->(a)
Sugar needed for cake: \(\frac{3}{8}\) -> (b)
Sugar needed for cookies: \(\frac{3}{5}\) -> (c)

We need to know if (a) > (b) + (c). If not, then how much more sugar does she need to make (a) equal to (b) + (c)

LCM (16, 8, 5) = 80
Therefore, (a) becomes \(\frac{75}{80}\) -> (d)
(b) becomes \(\frac{30}{80}\) -> (e)
(c) becomes \(\frac{48}{80}\) -> (f)

(e) + (f) = \(\frac{30}{80}\) + \(\frac{48}{80}\) = \(\frac{78}{80}\) -> (g)

Clearly, (g) > (d)
Therefore, Sugar needed = \(\frac{78}{80}\) - \(\frac{75}{80}\) = \(\frac{3}{80}\)

Thus, Sarah needs \(\frac{3}{80}\) of a cup of sugar.

Answer C
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Re: Sarah needs to make a cake and some cookies. The cake requires 3/8 cup  [#permalink]

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New post 05 Aug 2019, 19:24
Bunuel wrote:
Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?

A. She has enough sugar.
B. She needs 1/8 of a cup of sugar.
C. She needs 3/80 of a cup of sugar.
D. She needs 4/19 of a cup of sugar.
E. She needs 1/9 of a cup of sugar.


Sara needs 3/5 x 16/16 = 48/80 cups or sugar for the cookies and 3/8 x 10/10 = 30/80 cups of sugar for the cake, so a total of 78/80 cups of sugar. She currently has 15/16 x 5/5 = 75/80 cups of sugar, so she needs 3/80 more cups of sugar.

Answer: C
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Re: Sarah needs to make a cake and some cookies. The cake requires 3/8 cup   [#permalink] 05 Aug 2019, 19:24
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