document.write( "Question 961561: Jason emptied his piggy bank and counted exactly $10 in nickels, dimes and quarters There were twice as many dimes as nickels. There were twice as many quarters as dimes. How many nickels did he have? \n" ); document.write( "
Algebra.Com's Answer #587538 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Jason emptied his piggy bank and counted exactly $10 in nickels, dimes and quarters There were twice as many dimes as nickels. There were twice as many quarters as dimes. How many nickels did he have?-------------------- \n" ); document.write( "------- \n" ); document.write( "5n + 10d + 25q = 1000 cents \n" ); document.write( "d = 2n \n" ); document.write( "q = 2d \n" ); document.write( "-------- \n" ); document.write( "Substitute for \"n\" and \"q\" and solve for \"d\":: \n" ); document.write( "5(d/2) + 10d + 25(2d) = 1000 \n" ); document.write( "5d + 20d + 100d = 2000 \n" ); document.write( "125d = 2000 \n" ); document.write( "d = 16 (# of dimes) \n" ); document.write( "-------------------------- \n" ); document.write( "n = d/2 = 8 (# of nickels) \n" ); document.write( "------ \n" ); document.write( "q = 2d = 32 (# of quarters) \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------- \n" ); document.write( " |