document.write( "Question 161472: Moolah has 27 coins that are all dimes and quarters. The value of th coins is $4.35. How many dimes and how many quarters does Moolah have? \n" ); document.write( "
Algebra.Com's Answer #118931 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Let d = number of dimes \n" ); document.write( "and q = number of quarters \n" ); document.write( ". \n" ); document.write( "From \"Moolah has 27 coins\" we get equation 1: \n" ); document.write( "d+q = 27 \n" ); document.write( ". \n" ); document.write( "From \"The value of th coins is $4.35\" we get equation 2: \n" ); document.write( ".10d + .25q = 4.35 \n" ); document.write( ". \n" ); document.write( "Solving equation 1 for d: \n" ); document.write( "d+q = 27 \n" ); document.write( "d = 27-q \n" ); document.write( ". \n" ); document.write( "Substitute the above into equation 2 and solve for q: \n" ); document.write( ".10d + .25q = 4.35 \n" ); document.write( ".10(27-q) + .25q = 4.35 \n" ); document.write( "2.7 - .10q + .25q = 4.35 \n" ); document.write( ".15q = 1.65 \n" ); document.write( "q = 11 (number of quarters) \n" ); document.write( ". \n" ); document.write( "Substitute the above back into equation 1 and solve fo d: \n" ); document.write( "d+q = 27 \n" ); document.write( "d+11 = 27 \n" ); document.write( "d = 16 (number of dimes)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |