document.write( "Question 13779: jo has 37 coins(all nickels, dimes, and quarters) worth $5.50 she has 4 more quarters than nickels how many dimes does jo have \n" ); document.write( "

Algebra.Com's Answer #6963 by LilSkittleMd(119) $\"\"$ $\"About$

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There are 3 equations
\n" ); document.write( "q=n+4 or -n+q=4 (eq.1)
\n" ); document.write( "n+d+q=37 (eq.2)
\n" ); document.write( ".05n+.1d+.25q=5.50 (eq.3)
\n" ); document.write( "Use the elimination method for 2 of the 3 equations
\n" ); document.write( ".05n+.1d+.25q=5.50
\n" ); document.write( "-.05n-.05d-.05q=-1.85
\n" ); document.write( ".05d+.2q=3.65 (eq.4)
\n" ); document.write( "Eliminate the same variable from the unused equation and any other equation
\n" ); document.write( "n+d+q=37
\n" ); document.write( "-n+q=4
\n" ); document.write( "d+2q=4 (eq.5)
\n" ); document.write( "Now use the elimination method for equations 4 and 5
\n" ); document.write( ".05+.2q=3.65
\n" ); document.write( "-.05-.1=-2.05
\n" ); document.write( ".1q=1.6
\n" ); document.write( "q=16
\n" ); document.write( "Plug the value for q into equation 4 or 5
\n" ); document.write( "d+2(16)=41
\n" ); document.write( "d+32=41
\n" ); document.write( "d=9
\n" ); document.write( "Now plug in the q and d value into one of the three original equations
\n" ); document.write( "n+9+16=37
\n" ); document.write( "n+25=37
\n" ); document.write( "n=12
\n" ); document.write( "There are 16 quarters,12 nickels,9 dimes \n" ); document.write( "

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