Answer :
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]
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]
