2 Answers | Add Yours
You must have at least 4 pennies: this will cover items from 1-4 cents.
After that, you need a nickel: you now have items from 1-9 cents covered.
After this: you need a dime: you now have items from 1-19 cents covered.
Let's think about items between 20-24 cents. Adding a quarter would be too much, so we'll add another dime. We now have 1-29 cents covered.
Since we've surpassed 25 cents, we can now add a quarter. We now have everything between 1-54 cents covered.
To cover the rest, we could add a half dollar.
Putting all the above together, we find the minimum required coins to have exact price between 1 cent and 1 dollar is 4 pennies, 1 nickel, 2 dimes, 1 quarter, and 1 half dollar.
To be able to pay for any item worth 1 cent to $1 or 100 cents, the least number of coins required are the following:
1 50 cents coin
1 25 cents coin
2 10 cents coins
1 5 cents coin
4 1 cent coins
This has been calculated considering the fact that for any value below 5 requires the 4 1 cent coins. With the 5 cent coin they can also be used to create all the values between 5 and 10. 2 10 cents coins are required to fill the gap below 25 cents. With the 25 cents, 10 cents, 5 cents and 1 cent coin all values from 1 to 50 can be created. The 50 cents coin allows all values till 100 cents to be created.
The least number of coins required is 9.
We’ve answered 319,842 questions. We can answer yours, too.Ask a question