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If Mike buys a bicycle and a helmet for a total cost of $315, how much

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SVP
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If Mike buys a bicycle and a helmet for a total cost of $315, how much  [#permalink]

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New post 01 Mar 2017, 05:06
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D
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Question Stats:

97% (00:23) correct 3% (00:00) wrong based on 29 sessions

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If Mike buys a bicycle and a helmet for a total cost of $315, how much does the helmet cost?

(1) The bicycle costs twice as much as the helmet.
(2) The bicycle costs $210.

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Re: If Mike buys a bicycle and a helmet for a total cost of $315, how much  [#permalink]

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New post 01 Mar 2017, 12:40
Price of helmet = x

(1) 2x+x = 315 => Sufficient
(2) 210+x= 315 => Sufficient

Answer D
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Re: If Mike buys a bicycle and a helmet for a total cost of $315, how much  [#permalink]

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New post 12 Dec 2018, 18:16
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Top Contributor
SajjadAhmad wrote:
If Mike buys a bicycle and a helmet for a total cost of $315, how much does the helmet cost?

(1) The bicycle costs twice as much as the helmet.
(2) The bicycle costs $210.


Target question: How much does the helmet cost?

Given: bicycle + helmet = $315

Statement 1: The bicycle costs twice as much as the helmet.
Let x = cost of helmet
So, 2x = cost of bicycle
Since the total cost is $315, we can write: x + 2x = 315
Simplify: 3x = 315
Solve: x = 315/3 = 105
So, the answer to the target question is the helmet costs $105
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The bicycle costs $210.
Since we already know that bicycle + helmet = $315, we can conclude that the helmet costs $105
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

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Brent
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Re: If Mike buys a bicycle and a helmet for a total cost of $315, how much &nbs [#permalink] 12 Dec 2018, 18:16
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If Mike buys a bicycle and a helmet for a total cost of $315, how much

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