Question

A decorator charges $40 for an initial consultation, then $80 per hour. Another decorator just charges $90 per hour. How long is a job for which the two decorators charge the same price?

Answer 1

Answer: 4 hours is your correct answer

Answer 2

`x-\ time\ of\ work\ in\ hours\\\\ 1\ decorator:\ \ \ \ 40+80*x\\ 2\ decorator:\ \ \ \ 90*x\\\\ When\ their\ charge\ is\ the\ same:\\ 40+80x=90x\ \ |-80x\\ 40=90x-80x\\ 40=10x\ \ |:10\\ x=4\\\\ \textbf{Decorators\ charge\ the\ same\ price\ when\ they\ work\ 4\ hours.}`