document.write( "Question 946870: You have a total of 25 coins, all nickels ($0.05) and quarters ($0.25). The total value is $3.85. Write and solve a system of equations to find the number of nickels, n, and quarters, q \n" ); document.write( "
Algebra.Com's Answer #577639 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! You have a total of 25 coins, all nickels ($0.05) and quarters ($0.25). The total value is $3.85. Write and solve a system of equations to find the number of nickels, n, and quarters, q \n" ); document.write( "------------------ \n" ); document.write( "Equations: \n" ); document.write( "n + q = 25 coins \n" ); document.write( "5n+25q = 385 cents \n" ); document.write( "------------------------ \n" ); document.write( "Modify for elimination:: \n" ); document.write( "n + q = 25 \n" ); document.write( "n + 5q = 77 \n" ); document.write( "----- \n" ); document.write( "Subtract and solve for \"q\":: \n" ); document.write( "4q = 52 \n" ); document.write( "q = 13 (# of quarters) \n" ); document.write( "----- \n" ); document.write( "n = 25-q \n" ); document.write( "n = 12 (# of nickels) \n" ); document.write( "------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------- \n" ); document.write( " |