document.write( "Question 548333: A man has two kinds of money, dimes and half dimes. If he is offered $1.35 for 20 coins, how many of each kind must he give? \n" ); document.write( "

Algebra.Com's Answer #356913 by mananth(16949) $\"\"$ $\"About$

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dimes x
\n" ); document.write( "nickels y
\n" ); document.write( " Total 750
\n" ); document.write( "1 x + 1 y = 20 .............1
\n" ); document.write( "10 x + 5 y = 135 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -5
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-5 x -5 y = -100
\n" ); document.write( "10 x + 5 y = 135
\n" ); document.write( "Add the two equations
\n" ); document.write( "5 x = 35.00
\n" ); document.write( "/ 5
\n" ); document.write( "x = 7
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 20
\n" ); document.write( "7 + 1 y = 20
\n" ); document.write( " 1 y = 20 -7
\n" ); document.write( " 1 y = 13
\n" ); document.write( " y = 13
\n" ); document.write( " \n" ); document.write( "

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