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Wally bought a dog. There was a $25\%$ discount because it was a sale day, a $10\%$ further discount off of the result because it was a big dog, and a $5\%$ further discount off of that result because he did not use a credit card. (In other words, the discounts were taken successively. A $\$8$ item would be discounted down to $\$6$, then to $\$5.40$, then to $\$5.13$) He paid $\$1385.10$, which of course included the $8\%$ sales tax.

What was the original price of the dog (before tax and discounts)?)

Arthur
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J. DOEE
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    Hint: Mark $x=$ the original price. What is the paid price, in terms of $x$? – Matti P. Oct 29 '18 at 06:14
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    Dollar signs carry a special meaning to the formatting on this site. If you want actual dollar signs, you have to write \$ instead of just $. – Arthur Oct 29 '18 at 06:25
  • Broad hint: you are basically multiplying by $0.75$, than by $0.9$, than by $0.95$ to get $5.13$. It needs to be reversed. So you just divide by the same numbers your number $1385.10$ Then you have to handle the sales tax. That should not be a problem: when you add some percentage like taxes (8%) you can simply multiply by $1.08$ to add the tax, and you can divide (by $1.08$) to reverse. Hope our hints were helpful. – Ken Draco Oct 29 '18 at 06:39

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