Of a physician's clients, 120 have health insurance or

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Of a physician's clients, 120 have health insurance or [#permalink]

01 Apr 2012, 04:58

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28% (01:31) wrong

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Of a physician's clients, 120 have health insurance or prescription drug coverage or both. If 40 of the clients do not have description drug coverage, how many of the clients have both health insurance and prescription drug coverage?

(1) A total of 92 of the clients have health insurance.
(2) Of the 120 clients, 28 do not have health insurance.

I have got the correct answer, but it was a guess work. Can you please help?

[Reveal] Spoiler: OA

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Re: People who have both [#permalink]

01 Apr 2012, 08:07

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enigma123 wrote:

Of a physician's clients, 120 have health insurance or prescription drug coverage or both. If 40 of the clients do not
have prescription drug coverage, how many of the clients have both health insurance and prescription drug coverage?

(1) A total of 92 of the clients have health insurance.
(2) Of the 120 clients, 28 do not have health insurance.

health insurance =H;
prescription drug =P;
no. of clients with only H= a
no. of clients with only P=c
no. of clients with both H and P=b

hence we have
a+b+c=120
a=40
hence
b +c=80

we need to find b.

1) A total of 92 of the clients have health insurance.

i.e. a+b=92
=> c=28
hence b=80-28=52

SUFFICIENT

2) Of the 120 clients, 28 do not have health insurance.
i.e. c=28
hence as above b is calculable.

SUFFICIENT

Hence D.

hope this helps..!!
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Re: Of a physician's clients, 120 have health insurance or [#permalink]

01 Apr 2012, 08:33

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Insurance.png [ 5.38 KiB | Viewed 626 times ]

(1) A total of 92 of the clients have health insurance --> we are told that 40+x=92 --> x=52. Sufficient.

(2) Of the 120 clients, 28 do not have health insurance --> we are told that blue area is 28, since there are total of 120 clients then 40+x+28=120 --> x=52. Sufficient.

Answer: D.
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Re: Of a physician's clients, 120 have health insurance or [#permalink] 01 Apr 2012, 08:33

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Of a physician's clients, 120 have health insurance or

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