SOLUTION: a vending machine accepted any combination of nickles, dimes, and quarters that added to $O.40. how many different combinations of coins were possible?

Question 626464: a vending machine accepted any combination of nickles, dimes, and quarters that added to $O.40. how many different combinations of coins were possible?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

If you don't use a quarter, you can use 0 through 4 dimes and the rest,
if any, in nickels.  That's 5 ways without using a quarter.

If you use a quarter then the remaining 15 cents can only be made
with a dime and a nickel or 3 nickels.  That's 2 more ways.

Total: 5+2 or 7 combinations of coins.

Edwin

RELATED QUESTIONS
A vending machine accepted any combination of nickels, dimes, and quarters that added to... (answered by Edwin McCravy)

I need help solving the following word problem. A vending machine accepted any... (answered by rfer)

A vending machine accepts any combination of nickels, dimes, and quarters equaling 50... (answered by josmiceli)

a vending machine that only takes dimes and quarters contains 40 coins, with a total... (answered by ikleyn)

A vending machine contains nickles and dimes worth $14.50. There are 95 more nickles than (answered by ewatrrr)

cheese doodles cost 80 cents. the campus vendingmachine only accepts quarters, dimes, and (answered by oberobic)

A vending machine takes only nickles and dimes. At the end of the day there were three... (answered by chriswen)

A vending machine that takes only dimes and quarters contain 30 coins, with a total value (answered by Labelx88,Alan3354)

a vending machine has $20.50 in dimes and quarters. If the number of quarters is 5 more... (answered by stanbon)