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let n = no. of nickels
\n" ); document.write( "let d = no. of dimes
\n" ); document.write( "let q = no. of quarters
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( " Dan opened a piggy bank and found a total of thirty-five coins, made up of nickels, dimes, and quarters.
\n" ); document.write( "n + d + q = 35
\n" ); document.write( " If he has five more nickels than dimes
\n" ); document.write( "n = d + 5
\n" ); document.write( " and a total of $6,
\n" ); document.write( ".05n + .10d + .25q = 6
\n" ); document.write( "multiply equation by 4, subtract from the 1st equation
\n" ); document.write( "1n + 1d + 1q = 35
\n" ); document.write( ".20n + .4d + 1q = 24
\n" ); document.write( "----------------------subtraction eliminates q
\n" ); document.write( ".80n + .6d + 0 = 11
\n" ); document.write( "replace n with (d+5) from the 2nd equation
\n" ); document.write( ".8(d+5) +.6d = 11
\n" ); document.write( ".8d + 4 + .6d = 11
\n" ); document.write( "1.4d = 11 - 4
\n" ); document.write( "1.4d = 7
\n" ); document.write( "d = 7/1.4
\n" ); document.write( "d = 5 dimes
\n" ); document.write( "then n = d + 5, therefore
\n" ); document.write( "n = 5 + 1
\n" ); document.write( "n = 10 nickels
\n" ); document.write( "Replace d and n in the 1st equation to find q
\n" ); document.write( "10 + 5 + q = 35
\n" ); document.write( "q = 35 - 20
\n" ); document.write( "q = 20 quarters
\n" ); document.write( ":
\n" ); document.write( " how many of each coin were in his bank?
\n" ); document.write( "10 nickels, 5 dimes, 20 quarters
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "see if this adds up
\n" ); document.write( "10(.05) = .50
\n" ); document.write( "5 (.10) = .50
\n" ); document.write( "20*.25) = 5.00
\n" ); document.write( "----------------
\n" ); document.write( "total amt: $6 \n" ); document.write( "