Avending machine accepts nickels, dimes, and quarters. exact change is needed to make a purchase. how many ways can a person with fourfour nickels, three dimes, and two quarters make a 55-cent purchase from the machine?

4 ways

Step-by-step explanation:

Given that A vending machine accepts nickels, dimes, and quarters.

Purchase amt = 55 cents

Coins available = 4 nickels, 3 dimes and 2 qrs

Values                    5             10                 25

To give 55 cents, there are these possibilities

(2 qrs, 1 nickel)  or (1 qr, 2 dimes),  or (1 qr, 1 dime, 2 nickels) Or (1 qr, 4 nickels)

If he does not use a quarter, total value of dimes and nickels = 30+20 = 50 only.

Thus he has to use atleast one quarter.

Hence there are only 4 ways to do this

the correct answer is the second option