SOLUTION: Mary spent 2/5 of her money and had $60 left. How much did she have at first.

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Question 407408: Mary spent 2/5 of her money and had $60 left. How much did she have at first.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = original amount of money


Since we know that because "Mary spent 2/5 of her money", she'll have 3%2F5 of her money left (since 1-2%2F5=3%2F5). So she has %283%2F5%29x dollars left. Now we also know that she has "$60 left", so this means that %283%2F5%29x=60


%283%2F5%29x=60 Start with the given equation.


3x=5%2860%29 Multiply both sides by 5.


3x=300 Multiply.


x=%28300%29%2F%283%29 Divide both sides by 3 to isolate x.


x=100 Reduce.


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Answer:

So the answer is x=100


This means that Mary had $100 originally.


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