SOLUTION: Chang paid $8.19, including a 5% sales tax, for a shirt. If the shirt was on sale with a 25% discount, find the original price of the shirt.

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Question 791434: Chang paid $8.19, including a 5% sales tax, for a shirt. If the shirt was on sale with a 25% discount, find the original price of the shirt.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the original price
+p+-+.25p+ = the discounted price
+p+-+.25p+=+.75p+
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+.75p+=+819+-+.05%2A%28.75p%29+
+.75p+=+819+-+.0375p+
+.7875p+=+819+
+p+=+1040+ ( in cents )
The original price was $10.40
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check:
The discounted price was +.75%2A10.4+
+.75%2A10.4+=+7.8+
$7.80
--------
The 5% tax on this is
+.05%2A7.8+=+.39+
----------------
Discounted price + tax =
+7.8+%2B+.39+=+8.19+
OK