document.write( "Question 507160: Danielle has a total of 360 pennies, nickels, and dimes. She has a total of $13.50. She has four times as many pennies as dimes and one-third as many dimes as nickels. How many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #340348 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Danielle has a total of 360 pennies, nickels, and dimes. She has a total of $13.50. She has four times as many pennies as dimes and one-third as many dimes as nickels. How many of each coin does she have? \n" ); document.write( "---- \n" ); document.write( "Equations: \n" ); document.write( "p + n + d = 360 coins \n" ); document.write( "p+4n+10d = 1350 cents \n" ); document.write( "p = 4d \n" ); document.write( "d = (1/3)n \n" ); document.write( "--- \n" ); document.write( "Substitute for p and for n and solve for \"d\": \n" ); document.write( "4d + 3d + d = 360 \n" ); document.write( "8d = 360 \n" ); document.write( "d = 45 (# of dimes) \n" ); document.write( "p = 4d = 180 (# of pennies) \n" ); document.write( "n = 3d = 135 (# of nickels) \n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |