document.write( "Question 1030737: a girl bought 20 first-class stamps and 10 postcard stamps for $11.10. another day she spent $24.50 on 40 first-class stamps and 30 postcard stamps. find the cost of each type of stamp \n" ); document.write( "
Algebra.Com's Answer #645555 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make first class stamps = x \n" ); document.write( "and postcard stamps = y \n" ); document.write( "20x + 10y = 1110.......(1) \n" ); document.write( "40x + 30y = 2450.......(2) \n" ); document.write( "Multiply Eq(1) by 3 \n" ); document.write( "60x + 30y = 3330.......(1) \n" ); document.write( "40x + 30y = 2450.......(2) \n" ); document.write( "Subtract Eq(2) from Eq(1) \n" ); document.write( "20x = 880 \n" ); document.write( "x = 44 \n" ); document.write( "Substitute x = 44 into Eq(2) \n" ); document.write( "40x + 30y = 2450.......(2) \n" ); document.write( "40(44) + 30y = 2450 \n" ); document.write( "1760 + 30y = 2450 \n" ); document.write( "30y = 2450 - 1760 \n" ); document.write( "30y = 690 \n" ); document.write( "y = 23. \n" ); document.write( "First class stamps cost $0.44 \n" ); document.write( "Postcard stamps cost $0.23 \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |