document.write( "Question 668448: Karla has $4.60 in nickels and quarters. She has a total of 36 coins. How many nickels does she have? \n" ); document.write( "
Algebra.Com's Answer #415560 by DrBeeee(684) ![]() You can put this solution on YOUR website! Let n = number of nickles \n" ); document.write( "Let q = number of quarters \n" ); document.write( "To avoid decimals, work in cents not dollars. \n" ); document.write( "The problem statement provides us we two equations: \n" ); document.write( "(1) n + q = 36 and \n" ); document.write( "(2) 5*n + 25*q = 460 \n" ); document.write( "To solve put n of (1) into (2) or \n" ); document.write( "(3) 5*(36 - q) + 25*q = 460 or \n" ); document.write( "(4) 180 - 5*q + 25*q = 460 or \n" ); document.write( "(5) 20*q = 280 or \n" ); document.write( "(6) q = 14 and from (1) we get \n" ); document.write( "(7) n = 22 \n" ); document.write( "Are these correct? Check using (2). \n" ); document.write( "Is (5*22 + 25*14 = 460)? \n" ); document.write( "Is (110 + 350 = 460)? \n" ); document.write( "Is (460 = 460)? Yes \n" ); document.write( "Answer: Karla has 22 nickles and 14 quarters. \n" ); document.write( " |