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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
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2032
Location: Pakistan
GPA: 3.39
If Mike buys a bicycle and a helmet for a total cost of \$315, how much  [#permalink]

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01 Mar 2017, 05:06
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15% (low)

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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Manager
Joined: 25 Nov 2016
Posts: 54
Location: Switzerland
GPA: 3
Re: If Mike buys a bicycle and a helmet for a total cost of \$315, how much  [#permalink]

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

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

CEO
Joined: 11 Sep 2015
Posts: 3334
Re: If Mike buys a bicycle and a helmet for a total cost of \$315, how much  [#permalink]

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12 Dec 2018, 18:16
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Top Contributor
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

Cheers,
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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