Complete Question
The complete question is shown on the first uploaded image
Answer:
Explanation:
From the question we are told that
The relationship is
![(150 )/(d) = (130)/(c)](https://img.qammunity.org/2021/formulas/mathematics/college/i7qmwqs39l1ve7dgpiv5dthvh9doslyjtt.png)
The number of fence post painted by chuck is
The number of fence post painted by Diana is
![k = 150](https://img.qammunity.org/2021/formulas/mathematics/college/uc6le3b26544k3ikn0reaj8xlygw21c7u3.png)
can paint 10 fences more than chuck so let say the of fence painted in an hour by chuck is
![g](https://img.qammunity.org/2021/formulas/physics/college/yzpqnxejb7xobby6pnv7rczkpbnewmvtp3.png)
Then the number of fence post painted by Diana in one hour is
![f = g+ 10](https://img.qammunity.org/2021/formulas/mathematics/college/upgw1sx2ab5h8xtimqehcumvfc1bj7pwq1.png)
So
![(150 )/( g + 10 ) = (130)/(g)](https://img.qammunity.org/2021/formulas/mathematics/college/doynqww8spxvg1ipu245oieaqoon8ojzzm.png)
![130 g + 1300 = 150g](https://img.qammunity.org/2021/formulas/mathematics/college/s9ts0fmfuyckfo7cvjvrhbzi6qudxtbwq3.png)
![g = 65 \ m](https://img.qammunity.org/2021/formulas/mathematics/college/emicrzz6pyrkeafu9qb0jnb0emkpumlmu2.png)