document.write( "Question 560969: There are 33 coins that equal $6.05 with only quarters and nickels. How many of each do they have? \n" ); document.write( "
Algebra.Com's Answer #364094 by mananth(16946) You can put this solution on YOUR website! Nickels x numbers \n" ); document.write( "Quarters y numbers \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 33 .............1 \n" ); document.write( "5 x + 25 y = 605 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -25 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-25 x -25 y = -825 \n" ); document.write( "5 x 25 y = 605 \n" ); document.write( "Add the two equations \n" ); document.write( "-20 x = -220 \n" ); document.write( "/ -20 \n" ); document.write( "x = 11 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 33 \n" ); document.write( "11 + 1 y = 33 \n" ); document.write( " 1 y = 33 -11 \n" ); document.write( " 1 y = 22 \n" ); document.write( " y = 22 \n" ); document.write( "Nickels 11 numbers \n" ); document.write( "Quarters 22 numbers \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |