document.write( "Question 158308: If Eric had nineteen fewer nickels and twenty-one fewer dimes, he would have the same number of nickels, dimes, and quarters. Eric has a total of $7.45. How many of each coin does he have? \n" ); document.write( "
Algebra.Com's Answer #116689 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! If Eric had nineteen fewer nickels and twenty-one fewer dimes, he would have the same number of nickels, dimes, and quarters. Eric has a total of $7.45. How many of each coin does he have? \n" ); document.write( ". \n" ); document.write( "Let q = number of quarters \n" ); document.write( "then from: \"Eric had nineteen fewer nickels and twenty-one fewer dimes, he would have the same number of nickels, dimes, and quarters\" we get: \n" ); document.write( "q+19 = number of nickels \n" ); document.write( "q+21 = number of dimes \n" ); document.write( ". \n" ); document.write( "Since, he has a total of $7.45 we get our formula: \n" ); document.write( ".05(q+19) + .10(q+21) + .25q = 7.45 \n" ); document.write( ".05q + 0.95 + .10q + 2.1 + .25q = 7.45 \n" ); document.write( ".4q + 3.05 = 7.45 \n" ); document.write( ".4q = 4.4 \n" ); document.write( "q = 4.4/.4 \n" ); document.write( "q = 11 (this is the number of quarters) \n" ); document.write( ". \n" ); document.write( "nickels: \n" ); document.write( "q+19 = 11+19 = 30 \n" ); document.write( "dimes: \n" ); document.write( "q+21 = 11+21 = 32 \n" ); document.write( " |