## If Mike buys a bicycle and a helmet for a total cost of $315, how much does the helmet cost? ##### This topic has expert replies Moderator Posts: 2053 Joined: 29 Oct 2017 Followed by:2 members ### If Mike buys a bicycle and a helmet for a total cost of$315, how much does the helmet cost?

by AAPL » Tue Jan 04, 2022 3:56 pm

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## Global Stats

Princeton Review

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

OA D

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### Re: If Mike buys a bicycle and a helmet for a total cost of $315, how much does the helmet cost? by [email protected] » Wed Jan 05, 2022 7:16 am ## Timer 00:00 ## Your Answer A B C D E ## Global Stats AAPL wrote: Tue Jan 04, 2022 3:56 pm Princeton Review 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 OA D 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