document.write( "Question 202251: For P 100, I can buy 4 chicken pies and 12 banana cakes, or 5 banana cakes and 10 chicken pies. How much does one of each kind cost? \n" ); document.write( "
Algebra.Com's Answer #152491 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! (1) 100=4C +12B,,,(divide by 4),,,25=1C+3B,,(25-3B) = C \n" ); document.write( ". \n" ); document.write( "(2) 100=10C+5B,,,(divide by 5),,,20=2C+1B \n" ); document.write( ". \n" ); document.write( "subst (1) in (2) \n" ); document.write( ". \n" ); document.write( "20 =2(25-3B) +B \n" ); document.write( "20 = 50 -6B+B \n" ); document.write( "-30= -5B \n" ); document.write( "6=B \n" ); document.write( ". \n" ); document.write( "from (1) C=25-3B \n" ); document.write( "C=25-3(6) \n" ); document.write( "C=7 \n" ); document.write( ". \n" ); document.write( "check \n" ); document.write( "(1) 100=4(7)+12(6)= 28+72 = 100,,,,ok \n" ); document.write( "(2) 100 =10(7) +5(6) = 70+30=100,,,ok \n" ); document.write( " |