Question

Write and solve an equation that represents this situation.

Answer 1

4 games

Explanation:

Set up an equation for Javier's night at Pinz Bowling Alley:

`11.47x + 9.55`

Set up another equation for Javier's night at Vista Bowl:

`12.5x + 3.95`

Javier bought a drink at Vista Bowl, so modify the equation to accommodate this:

`12.5x+3.95+1.48`

Javier spent the same both nights in both alleys, so it is possible to set up a system of equations:

`11.47x+9.55 = 12.5x+3.95+1.48`

Simplify:

`11.47x + 9.55 = 12.5x + 5.43`

And solve for x, the number of games he played.

`4.12 = 1.03x`

`x = 4`

Javier played 4 games at each bowling alley.