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An office supply store sells binder clips that cost 14 cents each and
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22 May 2023, 05:13
22 May 2023, 05:13
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An office supply store sells binder clips that cost 14 cents each and binder clips that cost 16 cents each. If a customer purchases 85 binder clips from this store at a total cost of $13.10, how many 14-cent binder clips does the customer purchase?
A. 16
B. 25
C. 30
D. 35
E. 65
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A. 16
B. 25
C. 30
D. 35
E. 65
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) Cracking the GRE Premium
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
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Re: An office supply store sells binder clips that cost 14 cents each and
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22 May 2023, 06:09
22 May 2023, 06:09
1
Expert Reply
Let's solve the problem by setting up an equation.
Let's assume the customer purchases x binder clips that cost 14 cents each. Since the customer purchases a total of 85 binder clips, the number of binder clips that cost 16 cents each would be (85 - x).
The total cost of the 14-cent binder clips would be 14x cents.
The total cost of the 16-cent binder clips would be 16(85 - x) cents.
Given that the total cost of the purchase is $13.10, we can set up the following equation:
14x + 16(85 - x) = 1310 (converting dollars to cents)
Simplifying the equation:
14x + 1360 - 16x = 1310
-2x + 1360 = 1310
-2x = 1310 - 1360
-2x = -50
x = -50 / -2
x = 25
Therefore, the customer purchases 25 binder clips that cost 14 cents each.
The answer is (B) 25.
Let's assume the customer purchases x binder clips that cost 14 cents each. Since the customer purchases a total of 85 binder clips, the number of binder clips that cost 16 cents each would be (85 - x).
The total cost of the 14-cent binder clips would be 14x cents.
The total cost of the 16-cent binder clips would be 16(85 - x) cents.
Given that the total cost of the purchase is $13.10, we can set up the following equation:
14x + 16(85 - x) = 1310 (converting dollars to cents)
Simplifying the equation:
14x + 1360 - 16x = 1310
-2x + 1360 = 1310
-2x = 1310 - 1360
-2x = -50
x = -50 / -2
x = 25
Therefore, the customer purchases 25 binder clips that cost 14 cents each.
The answer is (B) 25.
gmatclubot
Re: An office supply store sells binder clips that cost 14 cents each and [#permalink]
22 May 2023, 06:09
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