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Question

Stores M and N sell only two types of hats: Fedora hats and Trilby hats. If the respective ratio of the total number of Fedora hats to the total number of Trilby hats sold by stores M and N together during March is 9:5, which is the total number of Fedora hats sold by stores M and N together during March?

A
990
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B
900
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C
720
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D
630
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E
810
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Solution

The correct option is E 810
Let the total number of Fedora hats sold by stores M and N together during March be 9x and the total number of Trilby hats sold by stores M and N together during March be 5x. Total number of hats sold by M and N during March = 780 + 480 = 1260
9x+5x=1260
14x=1260,x=90
Hence, the total number of Fedora hats sold by stores M and N together during March =9x=9×90=810.

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