SOLUTION: 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

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?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
b, amount of money at beginning

--------this is the description, literally as an equation.

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You should check to see this works in the equation and fits the description.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

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?

Easier to go backwards!
Final count: $42.15
Amount before $23.75 was spent: $42.15 + 23.75 = $65.90
Amount before was spent on painting: 2($65.90) = $131.80
Amount before $25 was spent on dinner: $131.80 + $25 = $156.80
Initial amount before cab driver was paid $20: $156.80 + $20 = $176.80
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