document.write( "Question 723727: A purse contains $3.75 in 5-cent and 20-cent coins. If there are 33 coins altogether, how many of each type of coin do I have? \n" ); document.write( "

Algebra.Com's Answer #443302 by mananth(16946) $\"\"$ $\"About$

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1 x + 1 y = 33 .............1
\n" ); document.write( "Total value
\n" ); document.write( "5 x + 20 y = 375 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -20
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-20 x -20 y = -660
\n" ); document.write( "5 x + 20 y = 375
\n" ); document.write( "Add the two equations
\n" ); document.write( "-15 x = -285
\n" ); document.write( "/ -15
\n" ); document.write( "x = 19
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 33
\n" ); document.write( "19 + y = 33
\n" ); document.write( " y = 33 -19
\n" ); document.write( " y = 14
\n" ); document.write( " y = 14
\n" ); document.write( "x= 19 number of 5 cent coins
\n" ); document.write( "y= 14 number of 20 cent coins
\n" ); document.write( " \n" ); document.write( "

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