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A specialty bakery sells decorated onelayer cakes for \$40 and two-laye

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Math Expert
Joined: 02 Sep 2009
Posts: 52971
A specialty bakery sells decorated onelayer cakes for \$40 and two-laye  [#permalink]

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13 Apr 2018, 00:50
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Difficulty:

25% (medium)

Question Stats:

100% (01:10) correct 0% (00:00) wrong based on 17 sessions

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A specialty bakery sells decorated onelayer cakes for \$40 and two-layer decorated cakes for \$75. If last month the bakery’s total sales for decorated onelayer and two-layer cakes was \$13,900, how many decorated one-layer and twolayer cakes did the bakery sell last month?

(1) Last month, the number of decorated one-layer cakes sold was 40 less than twice the number of decorated twolayer cakes sold.
(2) Last month, the number of decorated two-layer cakes sold was 60 less than the number of decorated one-layer cakes sold.

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Joined: 28 Apr 2014
Posts: 49
GMAT 1: 640 Q50 V25
Re: A specialty bakery sells decorated onelayer cakes for \$40 and two-laye  [#permalink]

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13 Apr 2018, 01:02
IMO D

40x+75y=13900
2 equations and 2 unknowns generally gives a unique solution.
St1 40(2y-40)+75y=13900
y=100
x=160

St2 40x+75(x-60)=13900
x=160
y=100
Re: A specialty bakery sells decorated onelayer cakes for \$40 and two-laye   [#permalink] 13 Apr 2018, 01:02
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A specialty bakery sells decorated onelayer cakes for \$40 and two-laye

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