A disc jockey plays only hip - hop and country - western

[BTGmoderatorLU]

Source: Princeton Review

A disc jockey plays only hip - hop and country - western records. If the disc jockey plays four country - western records for every seven hip - hop records, what fraction of the records he plays are country - western?

A. 4/5
B. 7/11
C. 4/7
D. 4/11
E. 1/28

The OA is D

[Jay@ManhattanReview]

Source: Princeton Review

A disc jockey plays only hip - hop and country - western records. If the disc jockey plays four country - western records for every seven hip - hop records, what fraction of the records he plays are country - western?

A. 4/5
B. 7/11
C. 4/7
D. 4/11
E. 1/28

The OA is D

Say the number of hip - hop records is 7 and the number of country - western records is 4. Thus, the total number of records = 4 + 7 = 11.

Thus, 4/11 of the records he plays are country - western.

The correct answer: D

Hope this helps!

-Jay
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[deloitte247]

The disc jockey plays 4 country- western record for every seven hip-hop record.
Ratio of country- western record to hip-hop record = 4x : 7x
Total records = 4x+7x=11x
Total Country western record = {4x}{11x}
= {4}/{11 }of the Total records

$$answer\ is\ Option\ D$$