document.write( "Question 1016450: An old jar of dimes and quarters contains 200 coins total, and the value of all the coins is $42.50. How many quarters are in the jar? \n" ); document.write( "
Algebra.Com's Answer #632833 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call the numbers of dimes and quarters, d and q. Then we have \n" ); document.write( "d + q = 200 and the value equation becomes \n" ); document.write( "10d + 25q = 4250 (we work in cents) \n" ); document.write( "Now multiply the first equation by ten and subtract... \n" ); document.write( "10d + 25q = 4250 \n" ); document.write( "-(10d + 10q = 2000) \n" ); document.write( "------------------ \n" ); document.write( "15q = 2250 \n" ); document.write( "q = 150 quarters \n" ); document.write( "d = 50 dimes \n" ); document.write( " |