document.write( "Question 143063: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have? \n" ); document.write( "
Algebra.Com's Answer #106074 by Alan3354(69443) You can put this solution on YOUR website! N=number of nickels \n" ); document.write( "D=number of dimes \n" ); document.write( "So 5N+10D=565 \n" ); document.write( "------------- \n" ); document.write( "If: \n" ); document.write( "10(D*2)+5(N+8) = 1045, or 20D+5N+40 = 1045 \n" ); document.write( "2 equations in 2 unknowns. \n" ); document.write( "5N+10D=565 eqn 1 \n" ); document.write( "5N+20D=1005 eqn 2 \n" ); document.write( "------------------ \n" ); document.write( "Subtract eqn 2 from eqn 1 \n" ); document.write( "-10D = -440 \n" ); document.write( "D = 44, the number of dimes \n" ); document.write( "Sub D=44 into either eqn, and find that N=25 \n" ); document.write( "----------------- \n" ); document.write( "Joe must be VERY proud to have 44 dimes and 25 nickels. Jeez. \n" ); document.write( " |