document.write( "Question 291389: mary has $3.75 in nickels,dimes,quarters. she has three more quarters than dimes. she has twice as many nickels as quarters. how many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #210728 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! mary has $3.75 in nickels,dimes,quarters. she has three more quarters than dimes. she has twice as many nickels as quarters. how many of each coin does she have? \n" ); document.write( "-------------------------------------------- \n" ); document.write( "Equations: \n" ); document.write( "Value Eq:::: 5n + 10d + 25q = 375 cents \n" ); document.write( "Quantity:::: q = d + 3 \n" ); document.write( "Quantity:::: n = 2q \n" ); document.write( "--------------------------------- \n" ); document.write( "Substitute for \"d\" dnd for \"n\" and solve for \"q\": \n" ); document.write( "5(2q) + 10(q-3) + 25q = 375 \n" ); document.write( "10q + 10q - 30 + 25q = 375 \n" ); document.write( "45q = 405 \n" ); document.write( "q = 9 (# of quarters) \n" ); document.write( "n = 2q = 18 (# of quarters) \n" ); document.write( "d = q-3 = 6 (# of dimes) \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |