Question

A vending 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?

Answer 1

If he uses 1 quarter, he has 40 cent left to make.He can do that in two ways, by using 2 dimes andall four nickels, or all 3 dimes snd 2 nickels.That's 2 ways.
If he uses both quarters, he has 15 cent left to make.He can do that in two ways by using 1 dime and 1 nickel,or no dimes and 3 nickels.That's 2 more ways. So there are four ways to make 65 cents.

Answer 2

4 ways

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