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# A disc jockey plays only hip - hop and country - western records. If t

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VP
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A disc jockey plays only hip - hop and country - western records. If t  [#permalink]

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10 Jul 2018, 10:13
00:00

Difficulty:

15% (low)

Question Stats:

68% (00:47) correct 33% (00:46) wrong based on 80 sessions

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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?

1. 4/5

2. 7/11

3. 4/7

4. 4/11

5. 1/28

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Re: A disc jockey plays only hip - hop and country - western records. If t  [#permalink]

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10 Jul 2018, 11:59
CW:HH = 4:7. Hence, 4/11 of all songs are CW and 7/11 of all songs are HH. Answer choice D.
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Re: A disc jockey plays only hip - hop and country - western records. If t  [#permalink]

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11 Jul 2018, 02:07
AkshdeepS wrote:
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?

1. 4/5

2. 7/11

3. 4/7

4. 4/11

5. 1/28

Given 4*western=7*hip-hop.
Total no of records$$=w+h=w+\frac{4}{7}*w=\frac{11}{4}*w$$
Fraction of the records DJ plays that are country western: Western/Total records=$$\frac{w}{\frac{11w}{4}}$$=$$\frac{4}{11}$$

Ans. (D)
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A disc jockey plays only hip - hop and country - western records. If t  [#permalink]

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11 Jul 2018, 09:10
AkshdeepS wrote:
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?

1. 4/5

2. 7/11

3. 4/7

4. 4/11

5. 1/28

Trap answer is C, $$\frac{4}{7}$$, which is a part-part ratio

"The DJ plays 4 country-western records for every 7 hip-hop records..." Part-Part ->
$$(CW:HH)=(4:7)=\frac{part}{part}=\frac{CW}{HH}=\frac{4}{7}$$

We need part-WHOLE. "What fraction of [all] the records he plays are country western?"

Whole = [all] the records =
sum of ratio parts = (4 + 7) = 11

|------11 records played------|
|----4 CW----|-------7 HH-------|

CW are what fraction of all records played?
$$\frac{part}{whole}=\frac{CW}{AllRecords}=\frac{CW}{CW +HH}=\frac{4}{(4+7)}=\frac{4}{11}$$

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Re: A disc jockey plays only hip - hop and country - western records. If t  [#permalink]

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14 Jul 2018, 18:34
AkshdeepS wrote:
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?

1. 4/5

2. 7/11

3. 4/7

4. 4/11

5. 1/28

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.

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Joined: 15 Apr 2017
Posts: 5
Re: A disc jockey plays only hip - hop and country - western records. If t  [#permalink]

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18 Jul 2018, 04:11
AkshdeepS wrote:
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?

1. 4/5

2. 7/11

3. 4/7

4. 4/11

5. 1/28

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.

Re: A disc jockey plays only hip - hop and country - western records. If t &nbs [#permalink] 18 Jul 2018, 04:11
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# A disc jockey plays only hip - hop and country - western records. If t

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