document.write( "Question 313058: I have nickles, dimes, and quarters. There are a total of 24 coins and their value is $3.00. There is one nickle more than dimes. How many coins do I have of each? \n" ); document.write( "
Algebra.Com's Answer #224013 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! : \n" ); document.write( "I have nickles, dimes, and quarters. \n" ); document.write( "n, d, q \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( " There are a total of 24 coins \n" ); document.write( "n + d + q = 24 \n" ); document.write( ": \n" ); document.write( "and their value is $3.00. \n" ); document.write( ".05n + .10d + .25q = 3.00 \n" ); document.write( ": \n" ); document.write( " There is one nickle more than dimes. \n" ); document.write( "n = d + 1 \n" ); document.write( ": \n" ); document.write( "Replace n with (d+1) in the 1st equation \n" ); document.write( "(d+1) + d + q = 24 \n" ); document.write( "2d + q = 24 - 1 \n" ); document.write( "2d + q = 23 \n" ); document.write( ": \n" ); document.write( "Replace n with (d+1) in the 2nd equation \n" ); document.write( ".05(d+1) + .10d + .25q = 3.00 \n" ); document.write( ".05d + .05 + .10d + .25q = 3.00 \n" ); document.write( ".15d + .25q = 3.00 - .05 \n" ); document.write( ".15d + .25q = 2.95 \n" ); document.write( ": \n" ); document.write( "Multiply the above equation by 4 and subtract from 2d + q = 23 \n" ); document.write( " 2d + q = 23 \n" ); document.write( ".6d + q = 11.8 \n" ); document.write( "-------------- \n" ); document.write( "1.4d = 11.2 \n" ); document.write( "d = \n" ); document.write( "d = 8 dimes \n" ); document.write( ": \n" ); document.write( "Find q using eq: 2d + q = 23 \n" ); document.write( "2(8) + q = 23 \n" ); document.write( "q = 23-16 \n" ); document.write( "q = 7 quarters \n" ); document.write( ": \n" ); document.write( "Use the 1st equation to find n \n" ); document.write( "n + d + q = 24 \n" ); document.write( "n + 8 + 7 = 24 \n" ); document.write( "n = 24 - 15 \n" ); document.write( "n = 9 nickels \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the total$ equation \n" ); document.write( ".05(9) + .10(8) + .25(7) = \n" ); document.write( ".45 + .80 + 1.75 = 3.00\r \n" ); document.write( "\n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |