To solve this problem, let's assume the price of the cheaper scarf is [tex]\( x \)[/tex] dollars. According to the information given, the more expensive scarf costs [tex]\( x + 3 \)[/tex] dollars.
Since the total cost of the two scarves is [tex]$25, we can set up the following equation:
\[ x + (x + 3) = 25 \]
Combining like terms, we get:
\[ 2x + 3 = 25 \]
Next, we need to isolate \( x \) by subtracting 3 from both sides of the equation:
\[ 2x = 25 - 3 \]
\[ 2x = 22 \]
Now, we solve for \( x \) by dividing both sides by 2:
\[ x = \frac{22}{2} \]
\[ x = 11 \]
So, the price of the cheaper scarf is $[/tex]11.
To find the price of the more expensive scarf, we add [tex]$3 to the price of the cheaper scarf:
\[ x + 3 = 11 + 3 \]
\[ x + 3 = 14 \]
Therefore, the price of the more expensive scarf is $[/tex]14.
So, the correct answer is:
[tex]\[ \boxed{14} \][/tex]
