Question

Geet sells televisions. He earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. Geet sells 14 televisons with extended warranties, he earns $1,260. How much is the fixed amount Geet earns for each television?​ I really need help I would appreciate it very much thanks!

Answer 1

Answer:   70 dollars per TV

============================================================

Explanation:

I'm assuming that each TV he sells has an extended warranty.

If he sells 14 such TVs, then he earns 20*14 = 280 dollars from the warranties alone. We're told he earns a total of $1260. This means that 1260-280 = 980 dollars was earned from the fixed amount he gets per TV.

Divide this over 14 to get 980/14 = 70

-------------

Here's an algebraic way to approach this

x = fixed amount he gets per TV

x+20 = fixed amount plus the extra $20 to get the warranty

14(x+20) = total amount he gets

14(x+20) = 1260

To solve for x, we could take two paths. One path is to divide both sides by 14 and subtract 20 from both sides later

So we would do:

14(x+20) = 1260

x+20 = 1260/14

x+20 = 90

x = 90-20

x = 70

Or we could distribute first, then subtract 280 from both sides, and divide both sides by 14. This basically follows the path described in the first section at the top.

14(x+20) = 1260

14x+14*20 = 1260

14x+280 = 1260

14x = 1260-280

14x = 980

x = 980/14

x = 70

Either way, we end up with 70 dollars as the answer