document.write( "Question 1011651: Rachel’s piggy bank consists of P10 and P5 coins only. If there are 75 coins worth P450, how many coins of each kind does she have? \n" ); document.write( "
Algebra.Com's Answer #627379 by Cromlix(4381) You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make P5 coins = x \n" ); document.write( "Make P10 coins = y \n" ); document.write( "x + y = 75.......(1) \n" ); document.write( "5x + 10y = 450....(2) \n" ); document.write( "Multiply (1) by 10 \n" ); document.write( "10x + 10y = 750....(1) \n" ); document.write( "5x + 10y = 450.....(2) \n" ); document.write( "Subtract (2) from (1) \n" ); document.write( "5x .....= 300 \n" ); document.write( "x.......= 60 \n" ); document.write( "Substitute x = 60 into (1) \n" ); document.write( "x + y = 75.......(1) \n" ); document.write( "60 + y = 75 \n" ); document.write( "y = 75 - 60 \n" ); document.write( "y = 15 \n" ); document.write( "You have 60 x P5 coins \n" ); document.write( "and 15 x P10 coins. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |