BTGmoderatorDC wrote: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.

OA D

Source: GMAT Prep

Say the Horace family for installed x numbers of cable television in their home.

Thus, we have the company would charge them = $(30 + 20x)

We have to determine the value of $(30 + 20x).

Let's take each statement one by one.

(1) The cable company installed three cable outlets in the Horace family home.

$(30 + 20x) = $(30 + 20*3) = $90. 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.

Total charge = Average charge per outlet * x = 30x

Thus, $(30 + 20x) = $30x

=> x = 3

=> $(30 + 20x) = $(30 + 20*3) = $90. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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