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# Three salespeople, Dan, Matt, and Nicole, earned annual commission in

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Math Expert
Joined: 02 Sep 2009
Posts: 53738
Three salespeople, Dan, Matt, and Nicole, earned annual commission in  [#permalink]

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21 Dec 2017, 20:44
00:00

Difficulty:

35% (medium)

Question Stats:

93% (01:17) correct 7% (02:01) wrong based on 113 sessions

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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

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Joined: 14 Sep 2017
Posts: 4
Re: Three salespeople, Dan, Matt, and Nicole, earned annual commission in  [#permalink]

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22 Dec 2017, 05:34
8x = 28000
x = 3500
16*3500 = 56000

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Joined: 22 May 2016
Posts: 2558
Re: Three salespeople, Dan, Matt, and Nicole, earned annual commission in  [#permalink]

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22 Dec 2017, 12:15
1
Bunuel 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

Ratio of
D : M : N is
3x: 5x: 8x
3x + 5x + 8x = 16x

N gets $$\frac{8x}{16x}=\frac{1}{2}$$ of total, $$T$$

N gets $28,000$28,000 = $$\frac{1}{2}T$$
$$T$$
= $56,000 Answer E _________________ And above all, watch with glittering eyes the whole world around you because the greatest secrets are always hidden in the most unlikely places. Those who don't believe in magic will never find it . —Roald Dahl Manager Joined: 20 Feb 2017 Posts: 88 Location: United States Re: Three salespeople, Dan, Matt, and Nicole, earned annual commission in [#permalink] ### Show Tags 22 Dec 2017, 13:27 Based on the ratio values - Dan + Matt = Nicole So Total = 2*Nicole =$56,000
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Re: Three salespeople, Dan, Matt, and Nicole, earned annual commission in  [#permalink]

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06 Apr 2018, 21:57
Bunuel,
Math Expert
Joined: 02 Sep 2009
Posts: 53738
Re: Three salespeople, Dan, Matt, and Nicole, earned annual commission in  [#permalink]

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06 Apr 2018, 23:49
NaeemHasan wrote:
Bunuel,

The OA is E. Edited. Thank you.
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Re: Three salespeople, Dan, Matt, and Nicole, earned annual commission in   [#permalink] 06 Apr 2018, 23:49
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