Answer:
Carmen's score is 75 strokes.
Linda's score is 81 strokes.
Explanation:
Let the score of Linda be "x".
It is given that Carmen's golf score is 6 strokes less than Linda's.
Thus, Carmen's score is (x-6).
The total score of the girls is
=
![x + (x-6) = 2x-6](https://img.qammunity.org/2020/formulas/mathematics/high-school/vso7gc383j2id3tqql222f6xt4uxgd2bku.png)
The total score is given to be 156.
Thus, the equation becomes,
![2x-6 = 156](https://img.qammunity.org/2020/formulas/mathematics/high-school/7lh1i3uf0bigrz3vb7617ut0n98gfys2dz.png)
![2x= 162](https://img.qammunity.org/2020/formulas/mathematics/high-school/77n8gbiaqvr6esxjzdoovljy8xrubxalgn.png)
![x = 81](https://img.qammunity.org/2020/formulas/mathematics/high-school/8y3hj65ln9zr9nqlhic1axr1qch03sfboh.png)
Thus Linda's score is 81 and Carmen's score is (156-81) 75.