SOLUTION: Hope went shopping and found a pair of jeans that had been marked down four times. The purchase price was a combination of the mark downs. The jeans started at $49.99. The first ma

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Question 570898: Hope went shopping and found a pair of jeans that had been marked down four times. The purchase price was a combination of the mark downs. The jeans started at $49.99. The first mark down was 20%, that price was marked down 30%, the third mark down was 10%, and the final mark down was an additional 20%. How much were the jeans?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the original price
The 1st markdown makes the price
+p+-+.2p+=+.8p+
The 2nd markdown makes it
+.8p+-+.3%2A.8p+=+.8p%2A%28+1+-+.3+%29+
+.8p%2A%28+1+-+.3+%29+=+.7%2A.8p+
+.7%2A.8p+=+.56p+
The 3rd markdown makes it
+.56p+-+.1%2A.56p+
+.56p%2A%28+1+-+.1+%29+
+.56%2A.9p+
+.504p+
The 4th markdown makes it
+.504p+-+.2%2A.504p+
+.504p%2A%28+1+-+.2+%29+
+.504%2A.8p+
+.4032p+
given:
+p+=+49.99+
+.4032%2A49.99+=+20.16+
Hope bought the jeans for $20.16