document.write( "Question 51876: the total value of the pennies and nickels was $14.50. hala counted the coins and found there was 450 in totalin all. how many of each type of coin did she have. \n" ); document.write( "
Algebra.Com's Answer #34611 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Use the standard form of a line: \n" ); document.write( "Ax+By=C \n" ); document.write( "Let .01=value of the pennies \n" ); document.write( "Let .05=value of the nickels \n" ); document.write( ". \n" ); document.write( "(.01)(x)+ (.05)(450-x)=14.50 \n" ); document.write( ".01x+22.50-.05x=14.50 [Solve for x] \n" ); document.write( ".01x-.05x=-22.50+14.50 \n" ); document.write( "-.04x=-8 \n" ); document.write( "x=200 pennies \n" ); document.write( "450-200=250 nickels \n" ); document.write( ". \n" ); document.write( "Check by plugging the values back into the original equation: \n" ); document.write( "Ax+By=C \n" ); document.write( "(.01)(200)+(.05)(250)=$14.50 \n" ); document.write( "14.50=14.50 [Checks out]\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |