Question

Ronald and Tyler met for dinner in downtown Newport. Ronald did flat-rate valet parking for $12. Tyler went to another valet and paid $4 up front and $4 for every hour, including the first hour. Ultimately, the friends ended up paying the same amount. How long did they stay? How much did each one pay?

Answer 1

`They\ stayed\ for\ 2\ hours\\\\And\ each\ one\ payed=\$12`

Explanation:

`Let\ both\ spend\ x\ hours`

Payment by Ronald:

`Ronald\ paid\ \$ 12.`

Payment by Tyler:

`Tyler\ paid\ $4\ up\ front\ and\ $4\ per\ hour\\\\Total\ amount\ paid\ by\ Tyler=4+4* number\ of\ hours\\\\Total\ amount\ paid\ by\ Tyler=4+4* x\\\\Total\ amount\ paid\ by\ Tyler==4+4x`

`Amount\ paid\ by\ both\ of\ them\ are\ equal\\\\4x+4=12\\\\4x=12-4\\\\4x=8\\\\x=2`

`They\ stayed\ for\ 2\ hours\\\\And\ each\ one\ payed=\$12`