document.write( "Question 894532: You have a spare change jar containing 22 coins consisting of nickels, dimes and quarters. If there is a total of $3.50 and there are as many quarters as there are nickels and dimes, how many dimes are there? \n" ); document.write( "
Algebra.Com's Answer #542115 by ankor@dixie-net.com(22740)\"\" \"About 
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n = no. of nickels
\n" ); document.write( "d = no. of dimes
\n" ); document.write( "q - no. of quarters
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "You have a spare change jar containing 22 coins consisting of nickels, dimes and quarters.
\n" ); document.write( "n + d + q = 22
\n" ); document.write( ":
\n" ); document.write( "If there is a total of $3.50
\n" ); document.write( ".05n + .10d + .25q = 3.50
\n" ); document.write( ":
\n" ); document.write( " and there are as many quarters as there are nickels and dimes,
\n" ); document.write( "q = n + d
\n" ); document.write( "In the first equation, replace n + d with q
\n" ); document.write( "q + q = 22
\n" ); document.write( "2q = 22
\n" ); document.write( "q = 11 quarters
\n" ); document.write( ":
\n" ); document.write( "how many dimes are there?
\n" ); document.write( "replace q with 11 in both equations
\n" ); document.write( "n + d + 11 = 22
\n" ); document.write( "subtract 11 from both sides
\n" ); document.write( "n + d = 11
\n" ); document.write( "and
\n" ); document.write( ".05n + .10d + .25(11) = 3.50
\n" ); document.write( ".05n + .10d = 3.50 - 2.75
\n" ); document.write( ".05n + .10d = .75
\n" ); document.write( "multiply by 10, use elimination with the 1st equation
\n" ); document.write( " 1n + d = 11
\n" ); document.write( ".5n + d = 7.50
\n" ); document.write( "------------------subtraction eliminates d
\n" ); document.write( ".5n + 0 = 3.5
\n" ); document.write( "n = 3.5/.5
\n" ); document.write( "n = 7 nickels
\n" ); document.write( ":
\n" ); document.write( "Find d using the 1st original equation
\n" ); document.write( "7 + d + 11 = 22
\n" ); document.write( "d = 22 - 18
\n" ); document.write( "d = 4 dimes
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this by finding the $ amt with these values
\n" ); document.write( ".05(7) + .10(4) + .25(11) =
\n" ); document.write( ".35 + .40 + 2.75 = 3.50\r
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