SOLUTION: Hi Andrew spent $682 on a pendent. He spent 1/10 of the remaining money on a ring. If he still had 3/7 of his money left. How much did he have at first. Thanks

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Question 1189043: Hi
Andrew spent $682 on a pendent. He spent 1/10 of the remaining money on a ring. If he still had 3/7 of his money left. How much did he have at first.
Thanks

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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Andrew spent $682 on a pendent. He spent 1/10 of the remaining money on a ring.
If he still had 3/7 of his money left. How much did he have at first.
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Let x = how much did he have at first.


Then (x-682 is remaining money after spending  $682;

     (9/10)*(x-682) is remaining money after spending 1/10 on the ring.


Equation

    %289%2F10%29%2A%28x-682%29 = %283%2F7%29%2Ax.


To solve, multiply both sides by 70 and simplify

    9*7*(x-682) = 30x

    63x - 63*682 = 30x

    63x - 30x = 63*682  

       33x    = 63*682

         x    = %2863%2A682%29%2F33 = 1302.


ANSWER.  Andrew had $1302 at first.

Solved.