Question 1188684

Your cable company offers two cable plans. One plan costs a monthly fee of $45 and $2 per additional channel. The other plan costs a monthly fee of $30 and $3 per additional channel. For how many extra channels will the cost be the same amount? What is that cost?
<pre>Let number of additional channels be C
Then for plans to cost the same, we get: 2C + 45 = 3C + 30
2C - 3C = 30 - 45
    - C = - 15
Number of additional channels to make both plans cost the same, or {{{highlight_green(matrix(1,5, C, "=", (- 15)/(- 1), "=", 15))}}}
Substitute value of C into either side of the equation to get the cost!

That's IT!! Could this be any simpler?</pre>