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

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

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New post 28 Feb 2016, 09:43
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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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Re: A certain automobile company’s best-selling model is the Speedster. Th  [#permalink]

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New post 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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Re: A certain automobile company’s best-selling model is the Speedster. Th  [#permalink]

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New post 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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New post 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.

Answer: B
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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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