A green purse costs $11, which is 11 times as much as a red tie costs.

How much does the red tie cost?

11/11 = 1

11x = $11

Solve for x.

To find out how much the red tie costs, let's set up an equation based on the given information.

Let's assume the cost of the red tie is represented by the variable "x."

According to the given information, the green purse costs 11 times as much as the red tie. So we can write this information as:

11x = $11

To find the value of "x," we need to solve this equation for "x."

Dividing both sides of the equation by 11, we get:

x = $11/11
x = $1

Therefore, the red tie costs $1.