document.write( "Question 796659: I have 56 coins consisting of 10-peso and 5-peso coins. If I have a total of 440.00, how many coins of each type do I have? \n" ); document.write( "

Algebra.Com's Answer #481504 by Cromlix(4381) $\"\"$ $\"About$

You can put this solution on YOUR website!
5 peso coin = x
\n" ); document.write( "10 peso coin = y
\n" ); document.write( "x + y = 56 ......1
\n" ); document.write( "5x + 10y = 440......2
\n" ); document.write( "Multiply Eq (1) by 10
\n" ); document.write( "x + y = 56......1
\n" ); document.write( "10x + 10y = 560......3
\n" ); document.write( "5x + 10y = 440.......2
\n" ); document.write( "Subtract Eq (2) from Eq (3)
\n" ); document.write( "5x = 120
\n" ); document.write( "x = 24
\n" ); document.write( "Substitute x = 4 into
\n" ); document.write( "Eq (1)
\n" ); document.write( "x + y = 56........1
\n" ); document.write( "24 + y = 56
\n" ); document.write( "y = 56 - 24
\n" ); document.write( "y = 32.
\n" ); document.write( "You have 24 x 5 peso coins
\n" ); document.write( "32 x 10 peso coins.
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "

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