document.write( "Question 3606: A guy has 30 coins consisting of nickels dimes and quarters. He has 3 more dimes than nickels. The total of the coins is $3.55. find the number of quarters. (I have done problems like this before without any problems but this one is giving me a really hard time. It seems simple but i cant get the correct solution..??? \n" ); document.write( "
Algebra.Com's Answer #1622 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! A guy has 30 coins consisting of nickels dimes and quarters. He has 3 more \n" ); document.write( "dimes than nickels. The total of the coins is $3.55. Find the number of \n" ); document.write( "quarters. (I have done problems like this before without any problems but this \n" ); document.write( "one is giving me a really hard time. It seems simple but I can't get the \n" ); document.write( "correct solution..??? \n" ); document.write( "` \n" ); document.write( ">>...a guy has 30 coins consisting of nickels dimes and quarters...<< \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` ` ` `N + D + Q = 30 \n" ); document.write( "` \n" ); document.write( ">>...he has 3 more dimes than nickels...<< \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` ` ` ` ` ` ` `D = N + 3 \n" ); document.write( "` \n" ); document.write( ">>...The total money value of the coins is $3.55...<< \n" ); document.write( "` \n" ); document.write( "` `$0.05N + $0.10D + $.25Q = $3.55 \n" ); document.write( "` \n" ); document.write( "Dropping the dollar marks and multiplying thru by 100: \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` 5N + 10D + 25Q = 355 \n" ); document.write( "` \n" ); document.write( "Since all those terms can be easily divided by 5, we can \n" ); document.write( "simplify it to \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` ` `N + 2D + 5Q = 71 \n" ); document.write( "` \n" ); document.write( "Now we have this system of equations: \n" ); document.write( "` \n" ); document.write( "` ` ` N + D + Q = 30 \n" ); document.write( "` ` ` ` ` ` ` D = N + 3 \n" ); document.write( "` ` N + 2D + 5Q = 71\r \n" ); document.write( "\n" ); document.write( "Can you solve this system of equations? If not post again. \n" ); document.write( "` \n" ); document.write( "Answer:10 nickels, 13 dimes 7 quarters \n" ); document.write( "` \n" ); document.write( "Edwin \n" ); document.write( " |