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Jill has the same number of dimes as Jack has quarters.
\n" ); document.write( " Jill has twice as many nickels as dimes.
\n" ); document.write( " He also has 5 times as many pennies as dimes.
\n" ); document.write( " Jill and Jack have the same amount of money.
\n" ); document.write( " How much does each have?
\n" ); document.write( ":
\n" ); document.write( "Let x = no. of dimes Jill has, and no. of quarters Jack has
\n" ); document.write( "Let n = no. of nickels, Jill has
\n" ); document.write( "Let p = no. of pennies Jack has
\n" ); document.write( ":
\n" ); document.write( "Jill has twice as many nickels as dimes.
\n" ); document.write( "n = 2x
\n" ); document.write( ":
\n" ); document.write( " He also has 5 times as many pennies as dimes. (Assume this is jill)
\n" ); document.write( "p = 5x
\n" ); document.write( ";
\n" ); document.write( "Jill and Jack have the same amount of money.
\n" ); document.write( "Jill$ = Jack$
\n" ); document.write( ".10x + .05n + .01p = .25x
\n" ); document.write( "Replace n with 2x and p with 5x
\n" ); document.write( ".10x + .05(2x) + .01(5x) = .25x
\n" ); document.write( ".10x + .10x + .05x = .25x; which true, but we still don't know what x is.
\n" ); document.write( ":
\n" ); document.write( "If we assume Jill has 10 nickels and Jack has 10 quarters
\n" ); document.write( "then
\n" ); document.write( "2(10) = 20 nickels for Jill
\n" ); document.write( "and
\n" ); document.write( "5(10) = 50 pennies for Jill
\n" ); document.write( ":
\n" ); document.write( ".05(20) + .10(10) + .01(50) = $2.50 Jill's total
\n" ); document.write( "and .25(10) = $2.50 Jack's total
\n" ); document.write( ":
\n" ); document.write( "But any value for x will work \n" ); document.write( "