document.write( "Question 1129052: Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 80.  Two adults and three children must pay $ 57.  Find the price of the​ adult's ticket and the price of a​ child's ticket. \n" ); document.write( "
Algebra.Com's Answer #745633 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = the price of an adult ticket
\n" ); document.write( "Let \"+b+\" = the price of a child's ticket
\n" ); document.write( "----------------
\n" ); document.write( "(1) \"+3a+%2B+4b+=+80+\"
\n" ); document.write( "(2) \"+2a+%2B+3b+=+57+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+2+\"
\n" ); document.write( "Multiply both sides of (2) by \"+3+\"
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+6a+%2B+9b+=+171+\"
\n" ); document.write( "(1) \"+-6a+-+8b+=+-160+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "\"+b+=+11+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+2a+%2B+33+=+57+\"
\n" ); document.write( "(2) \"+2a+=+24+\"
\n" ); document.write( "(2) \"+a+=+12+\"
\n" ); document.write( "--------------------
\n" ); document.write( "An adult ticket is $12
\n" ); document.write( "A child's ticket is $11
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+3%2A12+%2B+4%2A11+=+80+\"
\n" ); document.write( "(1) \"+36+%2B+44+=+80+\"
\n" ); document.write( "(1) \"+80+=+80+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );