Question 1151422
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Let x be the amount of the bonus.  Then...<br>
He deposits half in the bank.  The amount remaining is {{{x-(1/2)x = (1/2)x}}}.<br>
He spends 1/8 of what is left for the shoes.  The amount remaining is {{{(1/2)x-(1/8)*(1/2)x}}}.<br>
He then spends $108 on three belts.  The amount remaining is {{{(1/2)x-(1/8)*(1/2)x-108}}}.<br>
The amount he has left is $382:<br>
{{{(1/2)x-(1/8)*(1/2)x-108 = 382}}}<br>
Solve using basic algebra....<br>