Question

Cement R Us charges $30 per square foot of cement plus a one-time $30 gas fee. Concrete Discrete charges $25 per square foot of cement and a one-time gas fee of $55. How many square feet will the cost be the same?

Answer 1

Let x represent square feet of cement.

We have been given that Cement R Us charges $30 per square foot of cement plus a one-time $30 gas fee. So total cost of x square feet of cement would be
`30x+30`.

We are also told that Concrete Discrete charges $25 per square foot of cement and a one-time gas fee of $55. So total cost of x square feet of cement would be
`25x+55`.

To find the number of square feet for which the costs will be same, we will equate cost of bot companies as:

`30x+30=25x+55`

`30x+30-30=25x+55-30`

`30x=25x+25`

`30x-25x=25x-25x+25`

`5x=25`

`(5x)/(5)=(25)/(5)`

`x=5`

Therefore, 5 square feet will cost the same.