document.write( "Question 1014043: Nicholas bought three business related books. His total bill was $150. If one book cost him 50% more than the other two books combined what was the price of this more expensive book? \n" ); document.write( "

Algebra.Com's Answer #630385 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = the cost of the other 2 books combined
\n" ); document.write( "Let $\"+c+\"$ = the cost of the most expensive book
\n" ); document.write( "(1) $\"+c+%2B+x+=+150+\"$
\n" ); document.write( "(2) $\"+c+=+1.5x+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+1.5x+%2B+x+=+150+\"$
\n" ); document.write( "(1) $\"+2.5x+=+150+\"$
\n" ); document.write( "(1) $\"+x+=+60+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+c+=+1.5x+\"$
\n" ); document.write( "(2) $\"+c+=+1.5%2A60+\"$
\n" ); document.write( "(2) $\"+c+=+90+\"$
\n" ); document.write( "the cost of the most expensive book was $90
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+c+%2B+x+=+150+\"$
\n" ); document.write( "(1) $\"90+%2B+60+=+150+\"$
\n" ); document.write( "(1) $\"+150+=+150+\"$
\n" ); document.write( "OK \n" ); document.write( "

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