document.write( "Question 1033249: Tim Whitman has $4.50 in change in his desk drawer to use on the vending ma- chines downstairs. He has four more quarters than dimes. He has three times as many nickels as dimes. How many coins of each type does he have? \n" ); document.write( "
Algebra.Com's Answer #647799 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Tim Whitman has $4.50 in change in his desk drawer to use on the vending ma- chines downstairs. He has four more quarters than dimes. He has three times as many nickels as dimes. How many coins of each type does he have? \n" ); document.write( "---------- \n" ); document.write( "Equations: \n" ); document.write( "q = d + 4 \n" ); document.write( "n = 3d \n" ); document.write( "5n + 10d + 25q = 450 cents \n" ); document.write( "------------------------------------- \n" ); document.write( "Substitute to get one variable:: \n" ); document.write( "5(3d) + 10d + 25(d+4) = 450 \n" ); document.write( "15d + 10d + 25d + 100 = 450 \n" ); document.write( "50d = 350 \n" ); document.write( "d = 7 # of dimes \n" ); document.write( "n = 3d = 21 # of nickels \n" ); document.write( "q = d+4 = 11 (# of quarters) \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |