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A man’s suit was on sale for 15% off the regular price. The sale price was $216.75. What was the regular price?

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- anonymous

Here are the choices:
A. $249.26
B. $250
C. $225
D. $255

- anonymous

ok i think this might b C or d but im not sure u have to tag someone else

- tkhunny

Name the regular price.

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## More answers

- anonymous

It does not give the regular price.

- anonymous

Youre supposed to find it

- tkhunny

That's why I told you to NAME it. Call it something so we can talk about it.

- tkhunny

Seriously, call it "Steve", if you like. Just give it a name.

- anonymous

Okay, so this is a percent problem. The reduced price is $216.75 as we know. Are you asking me to choose on of the answer choices as an answer then we talk about it? If you are then I'm going to pick $250.00

- tkhunny

#1 thing to do. If you don't know it's value, give it a name. Call it something. Once we have a name, we can write equations and create meaningful expressions.

- anonymous

Okay I think we will go with "Drew".

- tkhunny

Fine. Drew = Original Purchase Price.
What is the discount? The discount percentage is 15%. Write an expression that represents the discount.

- anonymous

I'm not sure how to do that. D= 216.75

- tkhunny

How about Drew * 15% = 0.15 * Drew
This is the Discount. Do you believe?

- anonymous

Yes. Okay 15% = 0.15 * Drew.

- tkhunny

Okay, now we need an expression for the final purchase price.
Drew is the Original Purchase Price
0.15 * Drew is the Discount
Write an expression that represents the Sale Price.

- anonymous

D = $216.75 I hope this will suffice.

- tkhunny

That's no good. That IS the final sale price. We need an expression containing the Original Price that REPRESENTS the final sale price.

- anonymous

I have no idea how to do that. All I could tell you about what your asking me is that it has Drew in it somewhere.

- tkhunny

Yes you do. You do it all the time at the store.
If the price is $100 and the discount is $10, the sale price is $100 - $10 = $90. Just do that with Drew.

- anonymous

Okay. I'm going to try it. $Drew - 15% = $216.75

- tkhunny

Drew - 0.15*Drew = $216.75
That's it!!! Good work.
How do we solve?

- tkhunny

gtg
Drew - 0.15*Drew = $216.75
Distributive Property
Drew*(1 - 0.15) = $216.75
Resolve Parentheses
Drew*(0.85) = $216.75
Divide by 0.85
Drew*(0.85)/0.85 = $216.75/0.85
Drew*(1) = $216.75/0.85
Drew = $216.75/0.85 = $255.00 and we are done.
Once we get the name, we are off and running. Without the name, it is quite laborious.
I do recommend picking simpler names. I noticed you kept using "D". That is much simpler than "Drew". It doesn't matter much, though. Just pick names you can remember and write a good definition.

- anonymous

Well thanks.

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