document.write( "Question 175615: A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return? \n" ); document.write( "
Algebra.Com's Answer #130723 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return? \n" ); document.write( "--------------- \n" ); document.write( "Quantity Eq.: d = n+9 \n" ); document.write( "Quantity Eq.: q = d+21 \n" ); document.write( "Value Equation: 5n + 10d + 25q = 1000 \n" ); document.write( "------------------- \n" ); document.write( "Rearrange: \n" ); document.write( "d = n+9 \n" ); document.write( "q = d+21 = n+9 + 21 = n+30\r \n" ); document.write( "\n" ); document.write( "-------------- \n" ); document.write( "Substitute to get: \n" ); document.write( "5n + 10(n+9) + 25(n+30) = 1000 \n" ); document.write( "40n + 840 = 1000 \n" ); document.write( "40n = 160 \n" ); document.write( "n = 4 (# of nickels) \n" ); document.write( "d = 4+9 = 13 (# of dimes) \n" ); document.write( "q = 4 + 30 = 34 (# of quarters)\r \n" ); document.write( "\n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |