document.write( "Question 229863: Monica has three times as many nickles as pennies and twice as many quarters as nickles. In all she has $3.32. How many coins of each type does she have? \n" ); document.write( "
Algebra.Com's Answer #170323 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Monica has three times as many nickles as pennies and twice as many quarters as nickles. In all she has $3.32. How many coins of each type does she have? \n" ); document.write( "-------------------------------- \n" ); document.write( "Equations: \n" ); document.write( "n = 3p \n" ); document.write( "q = 2n \n" ); document.write( "25q + 5n + p = 332 cents \n" ); document.write( "----------------- \n" ); document.write( "Rearrange: \n" ); document.write( "p = 1/3 n \n" ); document.write( "q = 2n \n" ); document.write( "25q + 5n + p = 332 \n" ); document.write( "------------------------- \n" ); document.write( "Substitute and solve for \"n\": \n" ); document.write( "25(2n) + 5n + (1/3)n = 332 \n" ); document.write( "[55 1/3]n = 332 \n" ); document.write( "(166/3)n = 332 \n" ); document.write( "166n = 996 \n" ); document.write( "n = 6 (# of nickels) \n" ); document.write( "p = (1/3)n = 2 (# of pennies) \n" ); document.write( "q = 2n = 12 (# of quarters) \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |