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Bunuel
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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