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

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Math Expert
Joined: 02 Sep 2009
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Sarah needs to make a cake and some cookies. The cake requires 3/8 cup  [#permalink]

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29 Jul 2019, 23:24
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Difficulty:

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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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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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.

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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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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.

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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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