Question

A second parking garage is being built; it will have twice as many parking spaces as the current parking garage. Combined the current and new garages will have 1,293 spaces. How many spaces are in the original garage? in the new garage?

Answer 1

The original parking garage will have 431 spaces and
the second parking garage will have 862 spaces

Explanation:

Define `x` to be the number of spaces in the original garage.

We are told that the number of spaces in the second garage is `2x`
and that
`x+ 2x = 1293`

`rarr 3x = 1293`

`rarr x = 431color(white)("XXXX)` (the number of spaces in the original garage)
and
`rarr 2x = 862color(white)("XXXX")`(the number of spaces in the second garage)