document.write( "Question 761416: Kate has 21 coins (nickels and dimes) in her purse. How many nickels and dimes does she have if she has $1.50? \n" ); document.write( "
Algebra.Com's Answer #463466 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Nickels = x \n" ); document.write( "Dimes = y \n" ); document.write( "x + y = 21...1 \n" ); document.write( "5x + 10y = 150...2 \n" ); document.write( "Multiply (1) by 10 \n" ); document.write( "10x + 10y = 210...3 \n" ); document.write( "5x + 10y = 150...2 \n" ); document.write( "Subtract (2) from (3) \n" ); document.write( " 5x = 60 \n" ); document.write( " x = 12 \n" ); document.write( "Substitute x = 12 into Eq(1) \n" ); document.write( "x + y = 21 \n" ); document.write( "12 + y = 21 \n" ); document.write( " y = 21 - 12 \n" ); document.write( " y = 9 \n" ); document.write( "So, Kate has 12 nickels and 9 dimes \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |