To determine how many solutions the equation \( \frac{10 + 5x}{15} = 4 \) has, we can solve for \( x \).
- Start by multiplying both sides by 15 to eliminate the fraction:
\[ 10 + 5x = 60 \]
- Next, subtract 10 from both sides:
\[ 5x = 50 \]
- Then, divide both sides by 5:
\[ x = 10 \]
Since we found a specific value for \( x = 10 \), this equation has exactly one solution.
Thus, the correct response is:
B) exactly one solution
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