document.write( "Question 250751: There is $12.80 in a vending machine, composed of dimes, nickels and quarters. The amount of dimes is 5 times the amount of nickels. The amount of quarters is the amount of nickels plus 15. How many of each coin are there ? \n" ); document.write( "
Algebra.Com's Answer #182609 by stanbon(75887) ![]() You can put this solution on YOUR website! There is 12.80$ in a vending machine, composed of dimes, nickels and quarters. The amount of dimes is 5 times the amount of nickels. \n" ); document.write( "The amount of quarters is the amount of nickels plus 15. \n" ); document.write( "How many of each coin are there ?\r \n" ); document.write( "\n" ); document.write( "============================================================= \n" ); document.write( "Equations: \n" ); document.write( "Value Equation: 5n + 10d + 25q = 1280 cents \n" ); document.write( "Quantity Eq::::: d = 5n \n" ); document.write( "Quantity Eq::::: q = n+15 \n" ); document.write( "--------------------------------- \n" ); document.write( "Substitute for d and for n; then solve for \"n\": \n" ); document.write( "5n + 10(5n) + 25(n+15) = 1280 \n" ); document.write( "55n + 25n + 375 = 1280 \n" ); document.write( "80n = 905 \n" ); document.write( "n = (not a whole number) \n" ); document.write( "Check the posting of your problem. \n" ); document.write( "======================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |