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# Some people subscribe to newpaper A and of these 1/5 of the

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Some people subscribe to newpaper A and of these 1/5 of the [#permalink]

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21 Jun 2005, 12:49
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Some people subscribe to newpaper A and of these 1/5 of the people
also subscribe to paper B. Some people subscribe to paper B and of
these 1/4 of the people also subscibe to paper A. Ratio of people
who subscribed paper B to that of the total number of people?
A) 1/2 B)2/3 C) 3 D) 4 E) 5
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21 Jun 2005, 14:59
sparky wrote:
A/5 = B/4

A= B* 5/4

B/(A+B -AB) = 1/2, A

Please Sparky can you explain a little more thanks a lot

i understood that A/5=B/4 AND A= B* 5/4

come from this part:"Some people subscribe to newpaper A and of these 1/5 of the people
also subscribe to paper B. Some people subscribe to paper B and of
these 1/4 of the people also subscibe to paper A"

but not the remaining
thanks ,
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21 Jun 2005, 18:24
Sparky or anyone else I did not get it. Would you be kind enough to explain it.
Thanks.
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21 Jun 2005, 18:33
It may be easier to assume numbers.

Assume 20 people subscribe to Newspaper A (20 is LCM of 4 and 5)

Of these 20/5 = 4 people subscribe to Newspaper B.

We know that these 4 people represent 1/4 of the people who subscribe to Newspaper B, so total of 4/(1/4) = 16 people subscribe to Newspaper B.

Total number of people = (Those who subscribe to A )+ (Those who subscribe to B) - (Those who subscribe to both) = 20 + 16 - 4 = 32

Ratio needed = 16/32 = 1/2

Does this help? Sometimes it may be easier to plug in numbers, since when you talk of ratios, they must be true for any +ve integer.
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22 Jun 2005, 01:53
AJB77 wrote:
It may be easier to assume numbers.

Assume 20 people subscribe to Newspaper A (20 is LCM of 4 and 5)

Of these 20/5 = 4 people subscribe to Newspaper B.

We know that these 4 people represent 1/4 of the people who subscribe to Newspaper B, so total of 4/(1/4) = 16 people subscribe to Newspaper B.

Total number of people = (Those who subscribe to A )+ (Those who subscribe to B) - (Those who subscribe to both) = 20 + 16 - 4 = 32

Ratio needed = 16/32 = 1/2

Does this help? Sometimes it may be easier to plug in numbers, since when you talk of ratios, they must be true for any +ve integer.

thanks AJB77 yes it does
I Were suspecting some set matters and i first try a venn diagram I could not see what was common to both i picked A=40 AND B= 2O
So if I understand well what A and B have in common
is 1/5 of A and 1/4of B

thanks
22 Jun 2005, 01:53
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# Some people subscribe to newpaper A and of these 1/5 of the

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