SOLUTION: A woman paid $21.56 (including sales tax) for a book that was marked 20% off. The sales tax was 8%. What was the cover price of the book?

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Question 519460: A woman paid $21.56 (including sales tax) for a book that was marked 20% off. The sales tax was 8%. What was the cover price of the book?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = cover price
Let +t+ = tax included
(1) +21.56+-+t+=+p+-+.2p+
(2) +t+=+.08%2A%28+p+-+.2p%29+
(2) +t+=+.08%2A.8p+
(2) +t+=+.064p+
By substitution:
(1) +21.56+-+.064p+=+.8p+
(1) +.864p+=+21.56+
(1) +p+=+24.95+
cover price is $24.95
----------------
check:
with 20% off:
+19.96+
plus 8% tax:
+21.56+
OK