document.write( "Question 313128: how do you do this one....i have tried to come up with the equations and have had no luck\r
\n" ); document.write( "\n" ); document.write( "for the prob. you have to put it into a pair of linear equations in two variables then solve the equations using elimination or substitution..\r
\n" ); document.write( "\n" ); document.write( "Mrs. Boyd has a desk full of quarters and nickels. if she has a total of 25 coins with a total face value of 2.85 how many nickels would she have?\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #223931 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Mrs. Boyd has a desk full of quarters and nickels.
\n" ); document.write( "n = no. of nickels
\n" ); document.write( "q = no. of quarters
\n" ); document.write( ":
\n" ); document.write( "\"if she has a total of 25 coins\"
\n" ); document.write( "n + q = 25
\n" ); document.write( "q = (25-n); use this form for substitution
\n" ); document.write( ":
\n" ); document.write( "\" with a total face value of 2.85\"
\n" ); document.write( ".05n + .25q = 2.85
\n" ); document.write( ":
\n" ); document.write( "Substitute (25-n) for q
\n" ); document.write( ".05n + .25(25-n) = 2.85
\n" ); document.write( ".05n + 6.25 - .25n = 2.85
\n" ); document.write( ".05n - .25n = 2.85 - 6.25
\n" ); document.write( "-.20n = -3.40
\n" ); document.write( "n = \"%28-3.4%29%2F%28-.2%29\"
\n" ); document.write( "n = +17 nickels
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution finding the total value; 25 - 17 = 8 quarters
\n" ); document.write( ".05(17) + .25(8) =
\n" ); document.write( ".85 + 2.00 = 2.85; confirms our solution of n=17\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );