document.write( "Question 750773: Suppose Tom has 26 coins totaling $4.40. If he has only dimes and quarters, how many of each type does he have? \n" ); document.write( "
Algebra.Com's Answer #456791 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! x = dimes and y = quarters \n" ); document.write( "Form two equations relating: \n" ); document.write( "1) The number of coins \n" ); document.write( "2) the value of the coins\r \n" ); document.write( "\n" ); document.write( " x + y = 26 ....1 \n" ); document.write( "10x + 25y = 440....2\r \n" ); document.write( "\n" ); document.write( "Multiply (1) by 25\r \n" ); document.write( "\n" ); document.write( "25x + 25y = 650 \n" ); document.write( "10x + 25y = 440\r \n" ); document.write( "\n" ); document.write( "Subtract\r \n" ); document.write( "\n" ); document.write( "15x = 210 \n" ); document.write( " x = 14\r \n" ); document.write( "\n" ); document.write( "Substitute x = 14 into Equation 1\r \n" ); document.write( "\n" ); document.write( " x + y = 26 \n" ); document.write( " 14 + y = 26 \n" ); document.write( " y = 26 -14 \n" ); document.write( " y = 12\r \n" ); document.write( "\n" ); document.write( "So you have 14 dimes and 12 quarters \n" ); document.write( " |