Question 1191574

During an evening out, Dean paid a cab driver 20 dollars. He then spent 25 dollars on dinner and half of his remaining money on a painting. He bought an umbrella for 23.75 dollars and had 42.15 dollars left. How much money did Dean have to begin with?
<pre>Easier to go backwards!
Final count: $42.15
Amount before $23.75 was spent: $42.15 + 23.75 = $65.90
Amount before {{{1/2}}} was spent on painting: 2($65.90) = $131.80
Amount before $25 was spent on dinner: $131.80 + $25 = $156.80
<font color = red><font size = 4><b>Initial amount</font></font></b> before cab driver was paid $20: $156.80 + $20 = <font color = red><font size = 4><b>$176.80</font></font></b>