SOLUTION: Nicholas bought three business related books. His total bill was $150. If one book cost him 50 percent more than the other two books combined what was the price of this more expens

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Question 912612: Nicholas bought three business related books. His total bill was $150. If one book cost him 50 percent more than the other two books combined what was the price of this more expensive book?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the price of the most expensive book
The cost of the other 2 books is
+150+-+x+
-----------------
Given:
+x+=+1.5%2A%28+150+-+x+%29+
+x+=+225+-+1.5x+
+2.5x+=+225+
+x+=+90+
------------
The most expensive book costs $90
check:
+x+=+1.5%2A%28+150+-+x+%29+
+90+=+1.5%2A%28+150+-+90+%29+
+90+=+1.5%2A60+
+90+=+90+
OK