document.write( "Question 146119: At Gwens garage sale, all books were one price, and all magazines were another. Harriet bought 4 books and 3 magazines for $1.45 and June bought 2 books and 5 magazines for $1.25 What was the price of a book and what was the price of a magazine? \n" ); document.write( "

Algebra.Com's Answer #106671 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"b\"$ = price of books
\n" ); document.write( "Let $\"m\"$ = price of magazines
\n" ); document.write( " $\"4b+%2B+3m+=+145\"$
\n" ); document.write( " $\"2b+%2B+5m+=+125\"$
\n" ); document.write( "(note prices are in cents)
\n" ); document.write( "multiply 2nd equation by $\"2\"$ and subtract
\n" ); document.write( " $\"4b+%2B+3m+=+145\"$
\n" ); document.write( " $\"4b+%2B+10m+=+250\"$
\n" ); document.write( "--------------------
\n" ); document.write( " $\"7m+=+105\"$
\n" ); document.write( " $\"m+=+15\"$
\n" ); document.write( " $\"2b+%2B+5m+=+125\"$
\n" ); document.write( " $\"2b+%2B+5%2A15+=+125\"$
\n" ); document.write( " $\"2b+=+125+-+75\"$
\n" ); document.write( " $\"2b+=+50\"$
\n" ); document.write( " $\"b=+25\"$
\n" ); document.write( "The books are 25 cent each and magazines are 15 cents each
\n" ); document.write( "check:
\n" ); document.write( " $\"4b+%2B+3m+=+145\"$
\n" ); document.write( " $\"4%2A25+%2B+3%2A15+=+145\"$
\n" ); document.write( " $\"100+%2B+45+=+145\"$
\n" ); document.write( "OK\r
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