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23 Feb 2017, 04:47
1
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:53) correct 11% (02:47) wrong based on 76 sessions

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Molly purchased Brand A binders at $8.00 apiece and Brand B binders at$5.60 apiece. If she bought a total of 12 binders for $84.00, how many Brand A binders did she buy? ○A○ 2 ○B○ 5 ○C○ 6 ○D○ 7 ○E○ 10 Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4353 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: Molly purchased Brand A binders at$8.00 apiece and Brand B binders at  [#permalink]

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23 Feb 2017, 08:14
vikasp99 wrote:
Molly purchased Brand A binders at $8.00 apiece and Brand B binders at$5.60 apiece. If she bought a total of 12 binders for $84.00, how many Brand A binders did she buy? ○A○ 2 ○B○ 5 ○C○ 6 ○D○ 7 ○E○ 10 $$8a + 5.6 ( 12 - a ) = 84$$ Or, $$8a + 67.2 - 5.6a = 84$$ Or, $$2.4a = 16.8$$ Or, $$a = 7$$ Thus, answer must be (D) 7 _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2830 Re: Molly purchased Brand A binders at$8.00 apiece and Brand B binders at  [#permalink]

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27 Feb 2017, 10:52
1
vikasp99 wrote:
Molly purchased Brand A binders at $8.00 apiece and Brand B binders at$5.60 apiece. If she bought a total of 12 binders for $84.00, how many Brand A binders did she buy? ○A○ 2 ○B○ 5 ○C○ 6 ○D○ 7 ○E○ 10 We are given that Molly purchased Brand A binders at$8.00 apiece and Brand B binders at $5.60 apiece and bought a total of 12 binders for$84.00. If we let the number of Brand A binders purchased = a and the number of Brand B binders purchased = b, we can setup two equations:

a + b = 12

b = 12 - a

and

8a + 5.6b = 84

80a + 56b = 840

10a + 7b = 105

We can substitute 12 - a for b in the equation 10a + 7b = 105:

10a + 7(12 - a) = 105

10a + 84 - 7a = 105

3a = 21

a = 7

_________________

Jeffery Miller

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