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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
95% (01:15) correct
5%
(01:12)
wrong
based on 64
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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.
(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.
05 Sep 2025, 04:30
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Isn't the answer D? - we can substitute equations from each to the main equation and get
05 Sep 2025, 10:47
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Bunuel
The price of decorated one layer cake = $40
The price of decorated two layer cake = $75.
Let the number of decorated one layer and decorated two layer cakes be x and y respectively.
Given that 40x + 75y = 13900 . Let this be equation 1.
Statement 1:
(1) Last month, the number of decorated one-layer cakes sold was 40 less than twice the number of decorated twolayer cakes sold
x = 2y - 40
substute in equation 1, we get
40*(2y-40) + 75y = 13900
80y - 1600 + 75y = 13900
155y = 15500
y =100 and x = 160.
Hence, Sufficient
Statement 2:
(2) Last month, the number of decorated two-layer cakes sold was 60 less than the number of decorated one-layer cakes sold.
y = x - 60
substitute in equation 1, we get
40x + 75x -4500 = 13900
y =100 and x = 160.
Hence, Sufficient
Option D
