document.write( "Question 1042173: Molly has 14 coins, all of which are quarters and nickels. In all, they're worth $2.50. How many of each kind of coin does Molly have? \n" ); document.write( "
Algebra.Com's Answer #657126 by fractalier(6550) You can put this solution on YOUR website! Let us call the numbers of quarters and nickels, q and n. \n" ); document.write( "Then we can write \n" ); document.write( "q + n = 14 \n" ); document.write( "and the value equation is \n" ); document.write( "25q + 5n = 250 (we work in cents) \n" ); document.write( "Now we will multiply the top equation by five and subtract it from the bottom equation...like this... \n" ); document.write( "25q + 5n = 250 \n" ); document.write( "-(5q + 5n = 70) \n" ); document.write( "---------------- \n" ); document.write( "20q = 180 \n" ); document.write( "q = 9 quarters \n" ); document.write( "which means \n" ); document.write( "n = 5 nickels \n" ); document.write( " |