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 Posted: Wed Feb 03, 2010 4:59 pm
After a 5% reduction, you purchase a new suit for $313.5. What was the price of the suit before the reduction?
A) First write an equation you can use to answer this question. Let be the price of the suit before the reduction and express any percents in decimal form in the equation.
The equation is___________
B) Solve your equation in part [A] to find the original price of the suit.
Answer: The original price of the suit was_________ dollars.
This is my problem and I am wondering how to approach it. I know how to do what percent something is (Like when you get 8/10 questions on a test you have an 80) but how would I go about doing this? I am to assume this is 95% of the original price but how do I get to the original price, knowing that?
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Posted: Thu Feb 04, 2010 12:45 pm
ok so lets start from before the suit was reduced
the suit cost x dollars
then we took 5% off, so 5% of x is the same as .05*x =.05x
so to actually take the 5% off is a subtraction problem
x-.05x=313.5
.95x=313.5
Lets stop for a second, does this make sense? Yes, because we could have realized from the beginning that if we took 5% off the suit, we are paying 95% of the original suit cost which can be written as .95x.
so the answer to question A is .95x=313.5, that's your equation
to do be you just solve for x, divide both sides of the equation by .95
so you get
1x=330 which means x=330, and the suit originally cost $330. And we can check this a couple ways, our original cost should be greater than the discounted cost, which it is. And we can plug it back into the problem
what's .95*330? It's 313.5, so we did it right!
Any Questions?
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Posted: Thu Feb 04, 2010 1:31 pm
I get it now smile I kept trying to do it not using alegbra lol.
I read it wrong for a sec, re-read it and it all made sence smile
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Posted: Fri Feb 05, 2010 10:09 pm
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