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

Answer:

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

Step-by-step explanation:

$Let\ both\ spend\ x\ hours$

Payment by Ronald:

$Ronald\ paid\ \ 12.$

Payment by Tyler:

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

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

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