document.write( "Question 762009: Thomas Center has 35 coins worth 675 cents. Each coin is either a nickel or a quarter. Find the number of quarters. \n" ); document.write( "
Algebra.Com's Answer #463629 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Nickel = x \n" ); document.write( "Quarter = y \n" ); document.write( " x + y = 35...1 \n" ); document.write( "5x + 25y = 675...2 \n" ); document.write( "Multiply (1) by 5 \n" ); document.write( "5x + 5y = 175...3 \n" ); document.write( "5x + 25y = 675..2 \n" ); document.write( "Subtract (3) from (2) \n" ); document.write( " 20y = 500 \n" ); document.write( " y = 25 \n" ); document.write( "Substitute y = 25 into (1) \n" ); document.write( "x + y = 35 \n" ); document.write( "x + 25 = 35 \n" ); document.write( " x = 35 - 25 \n" ); document.write( " x = 10 \n" ); document.write( "Therefore Thomas has 10 nickels \n" ); document.write( "and 25 quarters. \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |