Answer:
The running club has 35 members
Explanation:
Let
x ----> the total members of the running club
we know that
The total members of the running club multiplied by 5/7 plus 6 must be equal to 31 people
so
![(5)/(7)x+6=31](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qbvr5hd2dfr6mgb2cmny9sxiypv494lcf5.png)
Solve for x
![(5)/(7)x=31-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/c1rir32dxr79nn94n8hgjc2ls2g02p47n7.png)
![(5)/(7)x=25](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ql2kopc1i5ka725t9jdnwqr5yjgc4nn9o4.png)
![x=25(7)/5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/72gsou0mjunvwnhitnjh0wg9gofpqdg4gx.png)
![x=35\ members](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mdlzvfsqlwerkifk1hprnwcnjaq4eb0plm.png)
therefore
The running club has 35 members