document.write( "Question 719846: Tanisha and Rachel had lunch at the mall. Tanisha ordered three slices of pizza and two colas.Rachel ordered two slices of pizza and three colas.Tanisha's bill was $6.00, and Rachel's bill was $5.25. What was the price of one slice of pizza? What was the price of one cola? Show your steps. \n" ); document.write( "

Algebra.Com's Answer #441541 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = the price in dollars of a slice of pizza
\n" ); document.write( "Let $\"+b+\"$ = the price in dollars of a cola
\n" ); document.write( "given:
\n" ); document.write( "Tanisha's bill:
\n" ); document.write( "(1) $\"+3a+%2B+2b+=+6+\"$
\n" ); document.write( "Rachel's bill:
\n" ); document.write( "(2) $\"+2a+%2B+3b+=+5.25+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+3+\"$
\n" ); document.write( "Multiply both sides of (2) by $\"+2+\"$
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"+9a+%2B+6b+=+18+\"$
\n" ); document.write( "(2) $\"+-4a+-+6b+=+10.5+\"$
\n" ); document.write( " $\"+5a+=+7.5+\"$
\n" ); document.write( " $\"+a+=+1.5+\"$
\n" ); document.write( "Plug this result back into (1) or (2)
\n" ); document.write( "(1) $\"+3%2A1.5+%2B+2b+=+6+\"$
\n" ); document.write( "(1) $\"+4.5+%2B+2b+=+6+\"$
\n" ); document.write( "(1) $\"+2b+=+1.5+\"$
\n" ); document.write( "(1) $\"+b+=+.75+\"$
\n" ); document.write( "$1.50 = the price of a slice of pizza
\n" ); document.write( "$.75 = the price of a cola
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+3a+%2B+2b+=+6+\"$
\n" ); document.write( "(1) $\"+3%2A1.5+%2B+2%2A.75+=+6+\"$
\n" ); document.write( "(1) $\"+4.5+%2B+1.5+=+6+\"$
\n" ); document.write( "(1) $\"+6+=+6+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );