document.write( "Question 183385: A collection of loonies, toonies, and quarters has a value of $25.50. There is one more looney than there are toonies, and there are twice as many quarters as toonies. How many of each kind of coin are in the collection?\r
\n" );
document.write( "\n" );
document.write( "Can you please help me? \n" );
document.write( "
Algebra.Com's Answer #137715 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A collection of loonies, toonies, and quarters has a value of $25.50. There is one more looney than there are toonies, and there are twice as many quarters as toonies. How many of each kind of coin are in the collection? \n" ); document.write( "------------------------------ \n" ); document.write( "Quantity Equation: L = T + 1 \n" ); document.write( "Quantity Equation: Q = 2T \n" ); document.write( "Value Equation: 100L + 200T + 25Q = 2550 cents \n" ); document.write( "---------------------------------------------- \n" ); document.write( "Substitute to solve for \"T\": \n" ); document.write( "100(T+1) + 200T + 25(2T) = 2550 \n" ); document.write( "100T + 100 + 200T + 50T = 2550 \n" ); document.write( "350T = 2450 \n" ); document.write( "T = 7 (# of toonies) \n" ); document.write( "Since L = T+1, L = 8 (# of loonies) \n" ); document.write( "Since Q = 2L, A = 16 (# of quarters) \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |