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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Three salespeople, Dan, Matt, and Nicole, earned annual
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D:M:N = 3:5:8.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
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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Scott@TargetTestPrep
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We can express the ratio as 3x : 5x : 8x. Nicole earned $28,000 so we can create the equation: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
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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