document.write( "Question 87873: Number problems. Jill has #3.50 in nickles and dimes. If she has 50 coins, how many of each type of coins does she have?\r
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Algebra.Com's Answer #63773 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! n = number of nickels; d = number of dime \n" ); document.write( ": \n" ); document.write( "Write a simple equation for each statement \n" ); document.write( ": \n" ); document.write( "\"Jill has #3.50 in nickels and dimes.\" \n" ); document.write( " .05n + .10d = 3.50 \n" ); document.write( ": \n" ); document.write( "\"If she has 50 coins,\" \n" ); document.write( " n + d = 50 \n" ); document.write( "Rearrange for substitution; subtract d from both sides: \n" ); document.write( " n = (50 - d) \n" ); document.write( ": \n" ); document.write( " how many of each type of coins does she have? \n" ); document.write( ": \n" ); document.write( "Substitute (50-d) for n in the 1st equation, solve for d: \n" ); document.write( ".05n + .10n = 3.50 \n" ); document.write( ".05(50-d) + .10d = 3.50 \n" ); document.write( "2.5 - .05d + .10d = 3.50 \n" ); document.write( "-.05d + .10d = 3.50 - 2.50 \n" ); document.write( ".05d = 1.00 \n" ); document.write( "d = 1/.05 \n" ); document.write( "d = 20 dimes \n" ); document.write( "Then \n" ); document.write( "50 - 20 = 30 nickels: \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solutions: \n" ); document.write( ".05(30) + .10(20) = 3.50 \n" ); document.write( ": \n" ); document.write( "That's not hard, is it? \n" ); document.write( " |