document.write( "Question 343869: My question is this: Lotty has $5 in nickles,dimes, and quarters. She has 3 times as many nickles as dimes. She has 5 times as much money in quarters as she does in nickles. How much of each does she have? (btw...the answer I got was that she would have 5 dimes, 15 nickels, and 15 quarters...but again, I got that with trial and error...they add up right but i dont know how to write an equation to show how to get those as answers...)So, I guess the thing I need help with is trying to find an equation to show how I got my answers. If you could help me, I would really appreciate it! Thank you. \n" ); document.write( "
Algebra.Com's Answer #246140 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Here is the algebra way, write an equation for each statement \n" ); document.write( ": \n" ); document.write( "n = no. of nickels, d = no. of dimes, q = no. of quarters \n" ); document.write( ": \n" ); document.write( "\"Lotty has $5 in nickles,dimes, and quarters.\" \n" ); document.write( ".05n + .10d + .25q = 5.00 \n" ); document.write( ": \n" ); document.write( "We will try to get everything in terms of n \n" ); document.write( ": \n" ); document.write( "\"She has 3 times as many nickles as dimes.\" \n" ); document.write( "n = 3d \n" ); document.write( "Divide both sides by 3 \n" ); document.write( "d = \n" ); document.write( ": \n" ); document.write( "\"She has 5 times as much money in quarters as she does in nickles.\" \n" ); document.write( ".25q = 5(.05n) \n" ); document.write( ".25q = .25n \n" ); document.write( "q = \n" ); document.write( "q = n \n" ); document.write( ": \n" ); document.write( "Using the 1st equation, replace d with \n" ); document.write( ".05n + .10( \n" ); document.write( ": \n" ); document.write( "get rid of the fraction, multiply each term by 3, results: \n" ); document.write( ".15n + .10n + .75n = 15.00 \n" ); document.write( "1n = 15 \n" ); document.write( "n = 15 nickels \n" ); document.write( "we know q = n, \n" ); document.write( "q = 15 quarters \n" ); document.write( "and \n" ); document.write( "d = \n" ); document.write( "d = 5 dimes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |