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# A certain automobile company’s best-selling model is the Speedster. Th

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Math Expert
Joined: 02 Sep 2009
Posts: 60647
A certain automobile company’s best-selling model is the Speedster. Th  [#permalink]

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28 Feb 2016, 09:43
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5% (low)

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89% (01:45) correct 11% (01:59) wrong based on 63 sessions

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A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 30 vehicles that are not Speedsters, how many Speedster convertibles are there?

A. 30
B. 48
C. 60
D. 70
E. 90

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Joined: 25 Dec 2012
Posts: 116
Re: A certain automobile company’s best-selling model is the Speedster. Th  [#permalink]

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28 Feb 2016, 10:57
Bunuel wrote:
A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 30 vehicles that are not Speedsters, how many Speedster convertibles are there?

A. 30
B. 48
C. 60
D. 70
E. 90

Total Vehicle = 2/3 of speedster + 1/3 of others.
Speedster convertibles = 2/3 total vehicle * 4 /5

Given : 1/3 constitutes 30 Vehicles. hence 2/3 constitutes 60

Speedster convertibls = 60 * 4/5 = 48
IMO B
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Joined: 24 Sep 2019
Posts: 85
Re: A certain automobile company’s best-selling model is the Speedster. Th  [#permalink]

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02 Dec 2019, 12:05
Inventory= $$\frac{2}{3}$$ speedsters + $$\frac{1}{3}$$ others
If others = 30, then speedsters = 60
Of those, $$\frac{4}{5}$$ are convertibles, therefore
$$\frac{4}{5}$$*60=48
Ans=B
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Re: A certain automobile company’s best-selling model is the Speedster. Th  [#permalink]

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12 Jan 2020, 06:38
Bunuel wrote:
A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 30 vehicles that are not Speedsters, how many Speedster convertibles are there?

A. 30
B. 48
C. 60
D. 70
E. 90

Because ⅔ of the inventory is comprised of Speedsters,then ⅓ of the inventory is not Speedsters. Letting T = the total number of vehicles in the company’s inventory, we can create the equation:

T/3 = 30

T = 90

So, there are 90 - 30 = 60 Speedsters, and of those, 4/5 x 60 = 48 are convertibles.

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Re: A certain automobile company’s best-selling model is the Speedster. Th   [#permalink] 12 Jan 2020, 06:38
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