You need to earn $475 a week to afford the new car you want to purchase. Your work week is 45 hours. You get 1.5 times the regular hourly rate for overtime (anything over 40 hours). How much does your hourly rate need to be?
Let x be your normal hourly rate....So, you work 40 hrs at the rate of x, and 5 more hrs. at 1.5x....so we have
40x + (5)*(1.5x) = 475 simplify
40x + 7.5x = 475
47.5x = 475 divide both sides by 47.5
x = $10/hr