document.write( "Question 30712: Please help me put this into an equation. A man has $.70 in dimes and nickels. He has 8 coins together. How many nickels does he have? I know the answer is 2 by trial and error but I don't know the equation. \n" ); document.write( "
Algebra.Com's Answer #17425 by Paul(988)![]() ![]() ![]() You can put this solution on YOUR website! Let the dimes be x \n" ); document.write( "Let the nickels be y \n" ); document.write( "x+y=8 \n" ); document.write( "y=8-x (subsitution) \n" ); document.write( "DDime value x 100 = 10 \n" ); document.write( "Nickel value x 100 = 5 \n" ); document.write( "TOtal value x 100 = 70\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Equation: \n" ); document.write( "10x+5y=70 \n" ); document.write( "10x+5(8-x)=70 \n" ); document.write( "10x-5x=70-40 \n" ); document.write( "5x=30 \n" ); document.write( "x=6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=8-6 \n" ); document.write( "y=2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, there are 6 dimes and 2 nickels. \n" ); document.write( "Paul. \n" ); document.write( " |