document.write( "Question 1012772: Pleas help me solve this problem. A piggy bank contains nickels, dimes, and quarters. The number of nickles is 15 more than 3 times the number of dimes. There are as many quarters as nickles and dimes combined. If there are 78 coins in total,how many of each coin are there? \n" ); document.write( "
Algebra.Com's Answer #628856 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "N=nickels; D=dimes; Q=quarters \n" ); document.write( ". \n" ); document.write( "N=3D+15 \n" ); document.write( "Q=N+D=4D+15 \n" ); document.write( ". \n" ); document.write( "N+D+Q=78 \n" ); document.write( ". \n" ); document.write( "(3D+15)+D+(4D+15)=78 \n" ); document.write( "8D+30=78 \n" ); document.write( "8D=48 \n" ); document.write( "D=6 \n" ); document.write( "ANSWER 1: There are 6 dimes. \n" ); document.write( ". \n" ); document.write( "N=3D+15=3(6)+15=18+15=33 \n" ); document.write( "ANSWER 2: There are 33 nickels. \n" ); document.write( ". \n" ); document.write( "Q=4D+15=4(6)+15=24+15=39 \n" ); document.write( "ANSWER 3: There are 39 dimes. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "N+D+Q=78 \n" ); document.write( "33+6+39=78 \n" ); document.write( "78=78 \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |