If 7 questors and n nickels is quivalent to 380 pennies, what is the value of n?

Answer

To solve the problem, we need to express everything in terms of pennies and then set up an equation to find the value of \( n \).

### Step-by-Step Solution:

1. **Understand the values of coins**:
- A penny is worth 1 cent.
- A nickel is worth 5 cents, which is equivalent to 5 pennies.
- A quarter is worth 25 cents, which is equivalent to 25 pennies.

2. **Calculate the total value of 7 quarters in pennies**:
\[ \text{Value of 7 quarters} = 7 \times 25 \text{ pennies} = 175 \text{ pennies} \]

3. **Express the value of \( n \) nickels in pennies**:
\[ \text{Value of } n \text{ nickels} = n \times 5 \text{ pennies} = 5n \text{ pennies} \]

4. **Set up the equation based on the problem statement**:
According to the problem, the total value of 7 quarters and \( n \) nickels is equivalent to 380 pennies:
\[ 175 + 5n = 380 \]

5. **Solve for \( n \)**:
- First, subtract 175 from both sides:
\[ 5n = 380 - 175 \]
\[ 5n = 205 \]
- Now, divide both sides by 5:
\[ n = \frac{205}{5} = 41 \]

6. **Conclusion**:
The value of \( n \) is \( 41 \).