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To install cable television in a home, a certain cable company charges

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To install cable television in a home, a certain cable company charges [#permalink] New post 26 Jun 2011, 06:17
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65% (01:45) correct 35% (01:08) wrong based on 40 sessions
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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: to-instal-a-cable-television-in-a-home-a-certain-cable-comp-131751.html
[Reveal] Spoiler: OA

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Re: To install cable television in a home, a certain cable company charges [#permalink] New post 26 Jun 2011, 11:50
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Stmt1: the cable company installed three cable outlets in the Horace Family home.
So 30 + 3(20)= 90. Sufficient,

Stmt2: the amount that the cable company charged the Horace family for installing the Cable television in their home was equivalent to an average charge of $30 per cable installed.

Let the cable company installed "x" cable outlets in the Horace Family home.
So total= 30 +x(20)

Average of total amount = 30+x(20) / x = 30
x=3

Total amount = 30 + 3(20) = 90 Sufficient,

OA D.
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Re: To install cable television in a home, a certain cable company charges [#permalink] New post 03 Jan 2015, 09:52
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Re: To install cable television in a home, a certain cable company charges [#permalink] New post 05 Jan 2015, 03:24
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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. 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.

Answer: D.

OPEN DISCUSSION OF THIS QUESTION IS HERE: to-instal-a-cable-television-in-a-home-a-certain-cable-comp-131751.html
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Re: To install cable television in a home, a certain cable company charges   [#permalink] 05 Jan 2015, 03:24
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