Question

The total cost of 2 similar televisions and 5 similar washing machines is $7215.
Each washing machine costs $216 less than a television. How much do
3 televisions cost?​

Answer 1

Answer:

Let "W" be the cost of a single washing machine and let "T" be the cost of a single television set.

"The total cost of 2 similar televisions and 5 similar washing machines is 7215".

So 2T+ 5W= 7215.

That is what you have though I think it is simpler, and less error prone, to use single letters rather than full words (clearly stating what those letters represent). This is a single equation in two unknowns so we need another equation in order to solve for specific values of T and W.

"Each washing machine costs $216 less than a television." This is our second equation:

W= T- 216.

You want to solve 2T+ 5W= 7215 and W= T- 216. The obvious thing to do is to replace W in the first equation by T- 216: 2T+ 5(T- 216)= 7215.

Answer 2

Step-by-step explanation:

The total cost of 2 similar televisions and 5 similar washing machines is $7215. Each washing machine costs $216 less than a television. How much do 3 televisions cost?

my answer:

2 television + 5 washing machines = 7215

but I got stuck there. However I dd look at how to do it, but I'm not 100% sure why they subtracted 432 from 7215. Is there a better algebraic expression that I have on top?

Unless it's: 2 television + 5 washing machines + 432 = 7215?