document.write( "Question 1127431: There are two more quarters than dimes, and as many nickels, as quarters and dimes together. The total amount of money is $3.75. How many quarters, dimes, and nickels are there? \n" ); document.write( "
Algebra.Com's Answer #743832 by addingup(3677) You can put this solution on YOUR website! q = d + 2 \n" ); document.write( "n = d + q substituting for q: n = d + (d + 2) \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "0.05n + 0.10d + 0.25q = 3.75 \n" ); document.write( "now substitute with the equivalents above: \n" ); document.write( "0.05(d + d + 2) + 0.10d + 0.25(d +2) = 3.75 \n" ); document.write( "0.05d + 0.05d + 0.10 + 0.10d + 0.25d + 0.50 = 3.75 \n" ); document.write( "group like numbers: \n" ); document.write( "0.05d + 0.05d + 0.10d + 0.25d + 0.10 + 0.50 = 3.75 \n" ); document.write( "0.45d + 0.60 = 3.75 \n" ); document.write( "0.45d = 3.15 \n" ); document.write( "d = 7 there are 7 dimes \n" ); document.write( "q = d + 2 = 7 + 2 = 9 there are 9 quarters \n" ); document.write( "n = d + q = 7 + 9 = 16 there are 16 nickels \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "check: \n" ); document.write( "0.10(7) + 0.25(9) + 0.05(16) \n" ); document.write( "= 0.70 + 2.25 + 0.8 = 3.75 Correct \n" ); document.write( " \n" ); document.write( " |