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Alex purchased a new suit discounted by 65%. He paid $35.80 for the suit. What was its...

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damienluna | eNotes Newbie

Posted October 24, 2013 at 4:48 PM via web

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Alex purchased a new suit discounted by 65%. He paid $35.80 for the suit. What was its original price?

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durbanville | High School Teacher | (Level 1) Educator Emeritus

Posted October 24, 2013 at 5:16 PM (Answer #1)

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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`

`therefore x=$102.29`

Ans: The original price of the suit was $102.29

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steveschoen | College Teacher | (Level 3) Assistant Educator

Posted October 25, 2013 at 1:06 AM (Answer #2)

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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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