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. \(\dfrac{4}{5}\)
B. \(\dfrac{7}{11}\)
C. \(\dfrac{4}{7}\)
D. \(\dfrac{4}{11}\)
E. \(\dfrac{1}{28}\)
The OA is D
Source: Princeton Review
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Solution:swerve wrote: ↑Tue Jan 19, 2021 4:41 pmA 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. \(\dfrac{4}{5}\)
B. \(\dfrac{7}{11}\)
C. \(\dfrac{4}{7}\)
D. \(\dfrac{4}{11}\)
E. \(\dfrac{1}{28}\)
The OA is D
We can let country-western : hip-hop = 4x : 7x.
So the total number of records is 11x, and the country-western records will be 4x/11x = 4/11 of the total number of records.
Answer: D
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