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)\"\" \"About 
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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 :-)
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