Question 1197848
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One informal solution method....<br>
The price was reduced by one-sixth, so the $725 is five sixths of the original price.
ONE sixth is 1/5 of FIVE sixths; if five sixths of the original price was $725, then one sixth of the original price was 1/5 of $725, which is $725/5 = $145.
So the price was reduced by $145; therefore the original price was $725+$145 = $870.<br>
And one of many formal algebraic methods....<br>
Instead of working with the "one sixth" that is the amount of the price reduction, work with the "five sixths" of the original price that remains.<br>
x = original price<br>
5/6 of the original price is $725:<br>
{{{(5/6)x=725}}}<br>
To solve for x, multiply both sides of the equation by the reciprocal, 6/5:<br>
{{{(6/5)(5/6)x=(6/5)725}}}
{{{x=6(725/5)=6(145)=870}}}<br>
ANSWER: The original price was x = $870<br>