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

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A specialty bakery sells decorated onelayer cakes for $40 and two-laye [#permalink]

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New post 13 Apr 2018, 01:50
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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.
[Reveal] Spoiler: OA

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Re: A specialty bakery sells decorated onelayer cakes for $40 and two-laye [#permalink]

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New post 13 Apr 2018, 02:02
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, 02:02
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A specialty bakery sells decorated onelayer cakes for $40 and two-laye

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