SOLUTION: A company specializing in magazine sales over the telephone found that in 2500 calls, 360 resulted in sales made by male callers and 480 resulted in sales made by female callers.

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Question 160771: A company specializing in magazine sales over the telephone found that in 2500 calls, 360 resulted in sales made by male callers and 480 resulted in sales made by female callers. If the company gets twice as many sales per call with a female voice than with a male voice, how many of the 2500 calls were made by a female?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A company specializing in magazine sales over the telephone
> found that in 2500 phone calls, 360 resulted in sales and were
> made by male callers, and 480 resulted in sales and were made
> by female callers. If the company gets twice as many sales per
> call with a woman's voice than with a man's voice, then how
> many of the 2500 calls were made by females?
> :
> Let x = no. of girls' call;
> Then (2500-x) = no. of boys' calls
> :
> We can say that percentage of successful calls (sales made) by
> girls is twice the percentage made by boys
> :
> 480%2Fx = % made by girls
:
> 360%2F%28%282500-x%29%29 = % made by boys
>
> :
> Girls % = 2 times boys
480%2Fx = 2(360%2F%28%282500-x%29%29)
:
480%2Fx = (720%2F%28%282500-x%29%29)
> Cross multiply
> 720x = 480(2500-x)
>
> 720x = 1200000 - 480x
>
> 720x + 480x = 1200000
>
> 1200x = 1200000
>
> x = 1200000/1200
>
> x = 1000 calls made by girls
> :
> Check using percentage:
> 480/1000 = 48 %
> 360/1500 = 24 %
>
> Did this make sense to you?