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## Answered question

2023-03-29

How many different ways can you make change for a quarter??
(Different arrangements of the same coins are not counted separately.)

### Answer & Explanation

idoless0069w7r

Beginner2023-03-30Added 6 answers

To determine the different ways to make change for a quarter (25 cents), we can consider the possible combinations of coins that add up to 25 cents.
The available coins we can use are:
- Penny (1 cent)
- Nickel (5 cents)
- Dime (10 cents)
Let's analyze the different possibilities:
1. Using all pennies:
We can use 25 pennies to make a quarter.
2. Using one dime and 15 pennies:
We can use 1 dime and 15 pennies to make a quarter.
3. Using two dimes and 5 pennies:
We can use 2 dimes and 5 pennies to make a quarter.
4. Using three dimes and no pennies:
We can use 3 dimes to make a quarter.
5. Using one nickel and 20 pennies:
We can use 1 nickel and 20 pennies to make a quarter.
6. Using one nickel, one dime, and 10 pennies:
We can use 1 nickel, 1 dime, and 10 pennies to make a quarter.
7. Using one nickel, two dimes, and 5 pennies:
We can use 1 nickel, 2 dimes, and 5 pennies to make a quarter.
8. Using one nickel, three dimes, and no pennies:
We can use 1 nickel, 3 dimes, and no pennies to make a quarter.
9. Using two nickels and 15 pennies:
We can use 2 nickels and 15 pennies to make a quarter.
10. Using two nickels, one dime, and 5 pennies:
We can use 2 nickels, 1 dime, and 5 pennies to make a quarter.
11. Using two nickels, two dimes, and no pennies:
We can use 2 nickels, 2 dimes, and no pennies to make a quarter.
12. Using one quarter:
We can use a single quarter to make a quarter.
Therefore, there are 12 different ways to make change for a quarter (25 cents).
Hence, the answer is $12$.

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