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# To instal a cable television in a home, a certain cable comp

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To instal a cable television in a home, a certain cable comp [#permalink]  02 May 2012, 01:01
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To install cable television in a home, a certain cable company charges a basic fee of \$30 plus a fee of \$20 for each cable outlet installed in the home. How much did the cable company charge the Horace family for installing cable television in their home?

(1) The cable company installed three cable outlets in the Horace family home.
(2) The amount that the cable company charged the Horace family for installing cable television in their home was equivalent to an average ( arithmetic mean) charge of the \$30 per cable outlet installed.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 02 May 2012, 01:10, edited 1 time in total.
Edited the question and added the OA
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Re: To instal a cable television in a home, a certain cable comp [#permalink]  02 May 2012, 01:14
To install cable television in a home, a certain cable company charges a basic fee of \$30 plus a fee of \$20 for each cable outlet installed in the home. How much did the cable company charge the Horace family for installing cable television in their home?

(1) The cable company installed three cable outlets in the Horace family home. Total cost=\$30+\$20*3. Sufficient.

(2) The amount that the cable company charged the Horace family for installing cable television in their home was equivalent to an average (arithmetic mean) charge of the \$30 per cable outlet installed. Say the number of outlets is x, then Total cost=\$30+\$20*x and the average is (\$30+\$20*x)/x --> (\$30+\$20*x)/x=30. We can solve for x. Sufficient.

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Re: To instal a cable television in a home, a certain cable comp [#permalink]  02 May 2012, 01:20
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The amount charged = 30+20x, where x is the number of outlets installed
statement (1) gives the value of 'x' such that it alone is sufficient.
statement (2) implies that (30+20x)/x = 30, from which x can be found out and the amount charged as well. statement (2) alone is sufficient
[Reveal] Spoiler:
[Reveal] Spoiler:

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Ravi Sankar Vemuri

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Re: To instal a cable television in a home, a certain cable comp [#permalink]  02 May 2012, 01:21
1
KUDOS
The amount charged = 30+20x, where x is the number of outlets installed
statement (1) gives the value of 'x' such that it alone is sufficient.
statement (2) implies that (30+20x)/x = 30, from which x can be found out and the amount charged as well. statement (2) alone is sufficient
[Reveal] Spoiler:

_________________

Ravi Sankar Vemuri

Re: To instal a cable television in a home, a certain cable comp   [#permalink] 02 May 2012, 01:21
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