Question 948079: a vending machine accepts nickels, dimes, and quarters. Exact change is needed to make a purchase. How many ways can a person with four nickels, three dimes, and two quarters make a 70 cent purchase
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website!
We must use at least 1 quarter because four nickels and three dimes
is only 50 cents.
If we use 1 quarter, then we must make the remaining 45c
with nickels and dimes. We must use all 3 dimes, because
2 dimes and 4 nickels is only 40c. So 1 quarter and 3 dimes
is 55c and we can make the remaining 15c with 3 ninckels.
That's 1 way,
1 quarter, 3 dimes and 3 nickels.
If we use 2 quarters, then we must make the remaining 20c
with nickels and dimes. We can use either
2 quarters, 2 dimes and 0 nickels
2 quarters, 1 dime and 2 nickels
2 quarters, 0 dimes and 4 nickels
That 3 more ways.
Total: 4 ways
Edwin
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