Fiona's Fashion Store is world renowned for its buttoned uniforms.

A collection of $36$ shirts and $42$ jackets contains $842$ buttons. A collection of $6$ shirts and $7$ jackets contains $137$ buttons. Each shirt has the same number of buttons, and each jacket has the same number of buttons.

How many buttons are there in a Fiona's Fashion shirt, and how many buttons are there in a jacket?

Choose $1$ answer:

There is not enough information to determine the exact number of buttons in a shirt or jacket.

The given information describes an impossible situation.

There are $10$ buttons in a single shirt and $11$ buttons in a single jacket.

There are $11$ buttons in a single shirt and $10$ buttons in a single jacket.