document.write( "Question 380481: Joe has a collection of nickels and dimes that is worth $6.00. If the number of dimes was doubled and the number of nickels was increased by 6, the value of the coins would be $9.90. How many dimes does he have? \n" ); document.write( "
Algebra.Com's Answer #270050 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Joe has a collection of nickels and dimes that is worth $6.00. If the number of dimes was doubled and the number of nickels was increased by 6, the value of the coins would be $9.90. How many dimes does he have? \n" ); document.write( "----------- \n" ); document.write( "Value Eq: 5n + 10d = 600 cents \n" ); document.write( "Value Eq: 5(n+6)+10(2d) = 990 cents \n" ); document.write( "---------------------------------------- \n" ); document.write( "Rearrange and modify to get: \n" ); document.write( "5n+ 20d = 990-30 \n" ); document.write( "5n+ 10d = 600 \n" ); document.write( "---------------------- \n" ); document.write( "Subtract bottom from top and solve for \"d\": \n" ); document.write( "10d = 360 \n" ); document.write( "d = 36 (# of dimes) \n" ); document.write( "--- \n" ); document.write( "Substitute and solve for \"n\": \n" ); document.write( "5n+10*36 = 600 \n" ); document.write( "5n+360 = 600 \n" ); document.write( "5n = 240 \n" ); document.write( "n = 48 (# of nickels) \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "stan H. \n" ); document.write( " |