document.write( "Question 1007272: Joseph has 8 coins for a total of $1.40. Some of the coins are nickels and some are quarters. how many of each coin does Joseph have? \n" ); document.write( "

Algebra.Com's Answer #623247 by tiffany222(56) $\"\"$ $\"About$

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Let nickels be x
\n" ); document.write( "Let quarters be y
\n" ); document.write( "Nickels are worth $.05
\n" ); document.write( "Quarters are worth $.25\r
\n" ); document.write( "\n" ); document.write( "x + y = 8
\n" ); document.write( ".05x + .25y = 1.40\r
\n" ); document.write( "\n" ); document.write( "Multiply second equation by 4 to eliminate y:\r
\n" ); document.write( "\n" ); document.write( "x + y = 8
\n" ); document.write( ".20x + y = 5.60\r
\n" ); document.write( "\n" ); document.write( "Subtract the two equations:\r
\n" ); document.write( "\n" ); document.write( ".80x = 2.40
\n" ); document.write( "x = 3\r
\n" ); document.write( "\n" ); document.write( "Substitute x value to get y value:\r
\n" ); document.write( "\n" ); document.write( "x + y = 8
\n" ); document.write( "3 + y = 8
\n" ); document.write( "y = 5\r
\n" ); document.write( "\n" ); document.write( "Final Answer:
\n" ); document.write( "3 nickels and 5 quarters\r
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