document.write( "Question 940928: Tim has a total of 60 nickels and quarters. if the total value of the coins is $11, how many quarters does he have? \n" ); document.write( "
Algebra.Com's Answer #573517 by macston(5194)![]() ![]() You can put this solution on YOUR website! N=Number of nickels, Q=number of quarters \n" ); document.write( "N+Q=60 eq1 \n" ); document.write( "5N+25Q=1100 eq2 total value of the coins is $11 \n" ); document.write( "N+Q-Q=60-Q Solve eq1 for N \n" ); document.write( "N=60-Q \n" ); document.write( "5(60-Q)+25Q=1100 Substitute for N in eq2 \n" ); document.write( "300-5Q+25Q=1100 \n" ); document.write( "300+20Q=1100 Subtract 300 from each side \n" ); document.write( "300+20Q-300=1100-300 \n" ); document.write( "20Q=800 Divide both sides by 20 \n" ); document.write( "20Q/20=800/20 \n" ); document.write( "Q=40 ANSWER The number of Quarters is 40 \n" ); document.write( "CHECK: \n" ); document.write( "N+Q=60 \n" ); document.write( "N+40=60 Subtract 40 from each side \n" ); document.write( "N+40-40=60-40 \n" ); document.write( "N=20 \n" ); document.write( "total value of the coins is $11 \n" ); document.write( ".05N + .25Q =$11 \n" ); document.write( ".05(20)+.25(40)=$11 \n" ); document.write( "$1+$10=$11 \n" ); document.write( "$11=$11 \n" ); document.write( " \n" ); document.write( " |