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Fractions/Ratios/Decimals

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by swerve » Tue Jan 19, 2021 4:41 pm

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B

C

D

E

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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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Source: — Problem Solving |

Re: Fractions/Ratios/Decimals

by Scott@TargetTestPrep » Wed Jan 27, 2021 5:25 am
swerve wrote:
Tue Jan 19, 2021 4:41 pm
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

Solution:

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

Scott Woodbury-Stewart
Founder and CEO
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