On Monday, Carmela runs 𝑥  km. On Tuesday, she runs double the distance she ran on Monday. On Wednesday, she runs 5  km less than she ran on Tuesday. If the total distance she runs is 35  km, then how many kilometres does she run on Wednesday?$$

To solve this problem, we need to set up an equation based on the information given.

1. On Monday, Carmela runs x km.
2. On Tuesday, she runs double the distance she ran on Monday, which is 2x km.
3. On Wednesday, she runs 5 km less than she ran on Tuesday, which is 2x - 5 km.

The total distance she runs is 35 km. So, we can set up the equation as follows:

x (Monday) + 2x (Tuesday) + 2x - 5 (Wednesday) = 35

Solving this equation will give us the value of x, which is the distance she runs on Monday. Once we have the value of x, we can substitute it into the equation 2x - 5 to find out how many kilometres she runs on Wednesday.

Let's solve the equation:

1. Combine like terms on the left side of the equation: x + 2x + 2x - 5 = 35 becomes 5x - 5 = 35
2. Add 5 to both sides of the equation to isolate the term with x: 5x - 5 + 5 = 35 + 5 becomes 5x = 40
3. Divide both sides of the equation by 5 to solve for x: 5x / 5 = 40 / 5 gives x = 8

So, Carmela runs 8 km on Monday. To find out how many kilometres she runs on Wednesday, substitute x = 8 into the equation 2x - 5:

2x - 5 = 2(8) - 5 = 16 - 5 = 11

Therefore, Carmela runs 11 km on Wednesday.