Thread: Story problem

A Company specializing in magazine sales over the telephone found that the 2500 phone calls , 360 resulted in sales and were made by male callers, and 480 resulted in sales were made by female callers,If the compnay gets twice as many saler per call with a women's voice then with a man's voice, then how many of the 3500 calls were made by females,

Help please I'm coming up with 1,000 is that right?

Originally Posted by fancyface

A Company specializing in magazine sales over the telephone found that the 2500 phone calls , 360 resulted in sales and were made by male callers, and 480 resulted in sales were made by female callers,If the compnay gets twice as many saler per call with a women's voice then with a man's voice, then how many of the 3500 calls were made by females,

Help please I'm coming up with 1,000 is that right?

Suppose the fraction of sales for male callers is k, then the fraction for
femail callers is 2k.

If there were m callers with male voices and f callers with femail voices, then:

km=360,

and:

2kf=480.

Also:

m+f=2500 (or 3500, you will have to sort out which this is yourself),

so:

km+kf=360+240=k 2500.

so:

k=600/2500=0.24, and

so:

2x0.24xf=480,

which gives:

f=1000.

RonL

Originally Posted by fancyface

A Company specializing in magazine sales over the telephone found that the 2500 phone calls , 360 resulted in sales and were made by male callers, and 480 resulted in sales were made by female callers,If the compnay gets twice as many saler per call with a women's voice then with a man's voice, then how many of the 3500 calls were made by females,

Help please I'm coming up with 1,000 is that right?

Let us see. Here is one way.

We are asked to find how many of the 2500 (I assume the 3500 is a typo) callers were females.
So, let x = total number of calls made by females -------------------***
And so, (2500 -x) = total number of calls made by males. -----------***

"... 360 resulted in sales and were made by male callers,..."
360/(2500-x) = percentage, in decimal, that resulted in sales from the male callers.

"...and 480 resulted in sales were made by female callers,..."
480/x = percentage in sales from among the female callers.

"...If the compnay gets twice as many saler per call with a women's voice then with a man's voice,..."
Means more females were buying than males.
So, the percentage of female sales is twice the percentage of male sales.
480/x = 2[360/(2500 -x)]
480/x = 720/(2500 -x)
Cross multiply,
480(2500 -x) = 720x
8(2500 -x) = 12x
2(2500 -x) = 3x
5000 -2x = 3x
5000 = 3x +2x
x = 5000/5 = 1000

Therefore, 1000 of those 2500 calls were by females. ------------answer.