Alex purchased a new suit discounted by 65%. He paid $35.80 for the suit. What was its original price?
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Alex's new suit is discounted by 65%, costing him $35.80. Therefore Alex pays 100%-65%= 35% of the original price.
Let x= the original price:
`therefore x=35.80/35 times 100`
Ans: The original price of the suit was $102.29
We would use a proportion to solve this problem. First, discounted 65%, Alex paid 35% for the suit. The proportion is of the form:
is/of = n/100
In this case, "is/of" would be tweeked to be "discounted price/regular price". We know the discounted price, $35.80. We don't know the regular price. So, that's x. "n" is the percent, 35. So, we have:
35.80/x = 35/100
Solving this for x:
35.80*100 = 35x
x = 35.80*100/35 = $102.29.
So, the regular price is $102.29.
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