A woman bought 3 shirts and 4 skirts and paid $780.00$. A shirt costs $15.00$ more than a skirt. We need to find the cost of a skirt.

1. Problem Description

A woman bought 3 shirts and 4 skirts and paid $780.00$. A shirt costs $15.00$ more than a skirt. We need to find the cost of a skirt.

2. Solution Steps

Let the cost of a skirt be $s$.

Then the cost of a shirt is $s + 15$.

The total cost of 3 shirts and 4 skirts is $780.00$.

We can write the equation:

$3(s + 15) + 4s = 780$

Expanding the equation, we get:

$3s + 45 + 4s = 780$

Combining like terms, we have:

$7s + 45 = 780$

Subtracting 45 from both sides, we get:

$7s = 780 - 45$

$7s = 735$

Dividing both sides by 7, we get:

$s = \frac{735}{7}$

$s = 105$

3. Final Answer

The cost of a skirt is $105.00$.