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# Month - June, July August Number of days worked -

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Manager
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Month - June, July August Number of days worked - [#permalink]  02 Jan 2006, 20:01
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 3 sessions
Month - June, July August

Number of days worked - 20(June), 17(July), 19 (Aug)

The table above shows the number of days worked by a certain sales representative in each of three months last year. If the number of sales calls that the representative made each month was proportional to the number of days worked in that month and if the representative made a total of 168 sales calls in the three months shown, how many sales calls did the representative make in August?

A. 50
B. 51
C. 56
D. 57
E. 60

Can someone explain the proportion concept? Thanks.
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JAI HIND!

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Joined: 21 Sep 2003
Posts: 1065
Location: USA
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D?

Let k be the multipilying factor (proportationality constant) for getting the actual number of calls.

20k+17k+19k = 168
k = 3

=> num of calls in August = 3*19 = 57
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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

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Re: PS: Proportion [#permalink]  03 Jan 2006, 00:24
JAI HIND wrote:
Month - June, July August

Number of days worked - 20(June), 17(July), 19 (Aug)

The table above shows the number of days worked by a certain sales representative in each of three months last year. If the number of sales calls that the representative made each month was proportional to the number of days worked in that month and if the representative made a total of 168 sales calls in the three months shown, how many sales calls did the representative make in August?

A. 50
B. 51
C. 56
D. 57
E. 60

Can someone explain the proportion concept? Thanks.

Given that 20X+17X+19X = 168 where X is the proportionality factor.
56X=168 => X=3
No of days sr worked in aug = 19, hence 19*3 = 57 calls were made in Aug.
Intern
Joined: 31 Dec 2005
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D for me . Ratio of calls made each month is 20:17:19 = 57

=168/56 *19 for august.
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Tony Chandra

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Joined: 04 Oct 2005
Posts: 586
Location: Chicago
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D for me too

S1:S2:S3= 20:17:19=> 19/56*168=57
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Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
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# of calls each month was proportional to the # of days worked.

20n+17n+19n = 168
n =168/(20+17+19) = 3

# of sales calls made in Aug = 19*3 = 57
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