SOLUTION: A boy spends 32% of his money and has #102 left. How much had he at last?

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Question 1205436: A boy spends 32% of his money and has #102 left. How much had he at last?
Found 4 solutions by math_tutor2020, MathLover1, Edwin McCravy, josgarithmetic:
Answer by math_tutor2020(3817) About Me  (Show Source):
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Do you mean to ask how much money did he have at first?

If so, then let's say x represents that amount.
32% of x = 0.32x = amount spent
x - 0.32x = 0.68x = amount leftover
He spent 32% of his money and keeps the remaining 68%
The two percentages add to 100%

0.68x = 102
x = 102/0.68
x = 150 is the starting amount of money.
I'm not sure which currency units you're working with.

Answer by MathLover1(20850) About Me  (Show Source):
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I assume currency unit is a dollar.
a boy has amount of $x
he spends 32%=0.32 of his money =>$0.32x
and has $102 left
x-0.32x=102
0.68x=102
x=102%2F0.68
x=150
so, a boy has $150
check:
150-0.32%2A150=102
150-48=102
102=102


Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

I noticed the question was
How much had he at last?
 
The other two tutors changed it.  What they answered was 

How much had he at FIRST?

You gave us the answer you wanted, which was #102.  J 

Be careful to be exact in your wording.

Edwin

Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Spend 32% of some quantity Q means still has 68% of Q.
0.68Q=102, what he still has.

The question, "How much had he at last"?
Nothing to solve!
Already given. He had "at last" #102.