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Three salespeople, Dan, Matt, and Nicole, earned annual

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by M7MBA » Mon Apr 15, 2019 1:38 am

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Three salespeople, Dan, Matt, and Nicole, earned annual commission in the ratio 3:5:8. If Nicole earned $28,000 in annual commission, what was the total value of the annual commission earned by the three salespeople?

A. $48,000
B. $50,000
C. $52,000
D. $54,000
E. $56,000

[spoiler]OA=E[/spoiler]

Source: Veritas Prep
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Source: — Problem Solving |

by GMATGuruNY » Mon Apr 15, 2019 2:58 am
M7MBA wrote:Three salespeople, Dan, Matt, and Nicole, earned annual commission in the ratio 3:5:8. If Nicole earned $28,000 in annual commission, what was the total value of the annual commission earned by the three salespeople?

A. $48,000
B. $50,000
C. $52,000
D. $54,000
E. $56,000
D:M:N = 3:5:8.
The sum of the parts of the ratio = 3+5+8 = 16.
The values in red indicate the following:
Nicole's fraction of the total = 8/16 = 1/2.
Since Nicole's $28,000 is 1/2 of the total, the total = $56,000.

The correct answer is E.
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by Scott@TargetTestPrep » Tue Apr 16, 2019 4:56 pm
M7MBA wrote:Three salespeople, Dan, Matt, and Nicole, earned annual commission in the ratio 3:5:8. If Nicole earned $28,000 in annual commission, what was the total value of the annual commission earned by the three salespeople?

A. $48,000
B. $50,000
C. $52,000
D. $54,000
E. $56,000

[spoiler]OA=E[/spoiler]

Source: Veritas Prep
We can express the ratio as 3x : 5x : 8x. Nicole earned $28,000 so we can create the equation:

8x = 28,000

x = 3500

So the total earned by all 3 people was 3x + 5x + 8x = 16x. Thus, we have 16 x 3500 = $56,000.

Answer: E

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