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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
A. 30
B. 48
C. 60
D. 70
E. 90
28 Feb 2016, 10:57
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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
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
02 Dec 2019, 12:05
Kudos
Bookmarks
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
If others = 30, then speedsters = 60
Of those, \(\frac{4}{5}\) are convertibles, therefore
\(\frac{4}{5}\)*60=48
Ans=B
