document.write( "Question 1103927: Johnny has 7 more nickels than quarters. If the value of the nickels and quarters totals $5.75, how many of each coin does he have? \n" ); document.write( "
Algebra.Com's Answer #718626 by stanbon(75887) ![]() You can put this solution on YOUR website! Johnny has 7 more nickels than quarters. If the value of the nickels and quarters totals $5.75, how many of each coin does he have? \n" ); document.write( "----- \n" ); document.write( "Equations: \n" ); document.write( "Quantity:: n = q + 7 coins \n" ); document.write( "Value:: 5n + 25q = 575 cents \n" ); document.write( "---------------------- \n" ); document.write( "Modify for eliminatioin:: \n" ); document.write( "5n - 5q = 5*7 \n" ); document.write( "5n +25q = 575 \n" ); document.write( "------------------------- \n" ); document.write( "Subtract and solve for \"q\" \n" ); document.write( "------------------- \n" ); document.write( " 30q = 540 \n" ); document.write( "q = 18 (# of quarters) \n" ); document.write( "--- \n" ); document.write( "n = q+7 = 25 (# of nickels) \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |