document.write( "Question 234633: A man has 35 coins consisting of dimes and quarters. The total value is $5.15. How many of each coin does he have? I know that there are 24 dimes and 11 quarters (working it backwards) but I can't figure out what the equation should be to solve for this problem. Can ANYONE please help me? \n" ); document.write( "
Algebra.Com's Answer #172992 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A man has 35 coins consisting of dimes and quarters. The total value is $5.15. How many of each coin does he have? \n" ); document.write( "--------------- \n" ); document.write( "Quantity Equation: d + q = 35 \n" ); document.write( "Value Equation:::10d+ 25q = 5l5 cents \n" ); document.write( "--------------------------------------- \n" ); document.write( "Multiply thru the Quantity Equation by 10 to get: \n" ); document.write( "10d + 10q = 350 \n" ); document.write( "--- \n" ); document.write( "Subtract that from the Value Equation and solve for \"q\": \n" ); document.write( "15q = 165 \n" ); document.write( "q = 11 (# of quarters) \n" ); document.write( "----- \n" ); document.write( "Since d+q = 35, d+11 = 35 ; d = 24 (# of dimes) \n" ); document.write( "================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |