Question 1195394
.
Joyce paid $123.50 for an item at the store that was 35% off the original price. 
What was the original price? Round your answer to the nearest cent.
The original price for the item was
~~~~~~~~~~~~~


<pre>
Let x be the original price.


Under the 35% discount, Joyce paid  x - 0.35x = (1-0.35)x = 0.65x dollars.


From the othe hand side, the problem says that Joyce paid $123.50.


Hence,  0.65x = 123.50  dollars.


It is your basic equation, which comes from the problem.


To solve it, divide both sides of the equation by 0.65.  You will get


    x = {{{123.50/0.65}}} = 190.


<U>ANSWER</U>.  The original price was $190.00.
</pre>

Solved and thoroughly explained.