document.write( "Question 669180: a collection of 75 coins consists of 25 cents and 50 cents. if the total value is 32.50 pesos, find the number of 25 cents and 50 cents coins in the collection. \n" ); document.write( "

Algebra.Com's Answer #416175 by mananth(16946) $\"\"$ $\"About$

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x 25 cent coins
\n" ); document.write( "y 50 cent coins
\n" ); document.write( "Total tickets sold
\n" ); document.write( "1.00 x + 1.00 y = 75.00 .............1
\n" ); document.write( "Value of tickets
\n" ); document.write( "25.00 x + 50.00 y = 3,250.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -50.00
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "-50.00 x -50.00 y = -3,750.00
\n" ); document.write( "25.00 x + 50.00 y = 3,250.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "-25.00 x = -500.00
\n" ); document.write( "/ -25.00
\n" ); document.write( "x = 20.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 75.00
\n" ); document.write( "20.00 + y = 75.00
\n" ); document.write( " y = 75.00 -20
\n" ); document.write( " y = 55.00
\n" ); document.write( " y = 55.00
\n" ); document.write( " 20 25 cent coins
\n" ); document.write( " 55 50 cent coins
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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