Question 1207222
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Aloysius had some money at first. He spent $360 on a suit. 
He then spent 1/7 of his remaining money on shoes and had 2/5 of his money left. 
How much money did he have at first?
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<pre>
Write equation as you read the problem

    x-360 - {{{(1/7)*(x-360)}}} = {{{(2/5)x}}}.


To solve it, multiply both sides by 7*5 = 35; then simplify.

    35*(x-360) - 5*(x-360) = 2*7*x,

    30(x-360) = 14x

    30x - 10800 = 14x

    30x - 14x = 10800

        16x   = 10800

          x = 10800/16 = 675.


<U>ANSWER</U>.  Originally, Aloysius had 675 dollars.
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Solved.