document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173873>Question 1173873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thomas bakes pies for a local caterer. On Tuesday he made three peach pies and six cherry pies, costing him $48 in expenses. Friday he spent $54.50 to make seven peach and four cherry pies. What is the cost of each peach and each cherry pie? </SPAN>\n" );
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document.write( "by formal algebra....<br><BR>\n" );
document.write( "3p+6c=48.00<BR>\n" );
document.write( "7p+4c=54.50<br><BR>\n" );
document.write( "Multiply the first equation by 2 and the second by 3 to make the numbers of cherry pies the same; then compare the two resulting equations to determine the cost of each peach pie.  Then use that to determine the cost of each cherry pie.<br><BR>\n" );
document.write( "Informally (good practice in problem solving, using logical reasoning and simple mental arithmetic)....<br><BR>\n" );
document.write( "3 peach and 6 cherry for $48  -->  1 peach and 2 cherry for $16  -->  2 peach and 4 cherry for $32.<br><BR>\n" );
document.write( "2 peach and 4 cherry for $32, and 7 peach and 4 cherry for $54.50,  -->  5 peach for $54.50-$32=$22.50  -->  1 peach for $22.50/5 = $4.50.<br><BR>\n" );
document.write( "1 peach and 2 cherry for $16, and 1 peach for $4.50, means 2 cherry for $11.50, so 1 cherry for $11.50/2 = $5.75.<br><BR>\n" );
document.write( "ANSWERS: peach $4.50; cherry $5.75<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "3(4.50)+6(5.75) = 13.50+34.50 = 48<BR>\n" );
document.write( "7(4.50)+4(5.75) = 31.50+23 = 54.50<br><BR>\n" );
document.write( " </SPAN>\n" );
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