document.write( "Question 973243: Peter is playing poker. He cashes out 3 red chips and 4 blue chips for 23 dollars, and 5 red chips and 12 blue chips for 65 dollars. How many dollars is each red chip worth? \n" ); document.write( "

Algebra.Com's Answer #595469 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+r+\"$ = the cash value of 1 red chip
\n" ); document.write( "Let $\"+b+\"$ = the cash value of 1 blue chip
\n" ); document.write( "-----------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+3r+%2B+4b+=+23+\"$
\n" ); document.write( "(2) $\"+5r+%2B+12b+=+65+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+3+\"$ and
\n" ); document.write( "subtract (2) from (1)
\n" ); document.write( "(1) $\"+9r+%2B+12b+=+69+\"$
\n" ); document.write( "(2) $\"+-5r+-+12b+=+-65+\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"+4r+=+4+\"$
\n" ); document.write( " $\"+r+=+1+\"$
\n" ); document.write( "Each red chip is worth $1
\n" ); document.write( "------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+3%2A1+%2B+4b+=+23+\"$
\n" ); document.write( "(1) $\"+3+%2B+4b+=+23+\"$
\n" ); document.write( "(1) $\"+4b+=+20+\"$
\n" ); document.write( "(1) $\"+b+=+5+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "(2) $\"+5r+%2B+12b+=+65+\"$
\n" ); document.write( "(2) $\"+5%2A1+%2B+12%2A5+=+65+\"$
\n" ); document.write( "(2) $\"+5+%2B+60+=+65+\"$
\n" ); document.write( "(2) $\"+65+=+65+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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