A car travels from Bamenda to Yaounde, a distance of 400 km. If toll gates are located every 150 km, how many toll gates will the car pass?

The total distance from Bamenda to Yaounde is given as $400 \text{ km}$.

The problem states that toll gates are located "to $150 \text{ km}$". This implies that toll gates are placed every $150 \text{ km}$. We assume the first toll gate is at the $150 \text{ km}$ mark.

We need to find how many $150 \text{ km}$ intervals fit into $400 \text{ km}$.
The positions of the toll gates will be multiples of $150 \text{ km}$ that are less than or equal to the total distance.

• The first toll gate is at $1 \times 150 \text{ km} = 150 \text{ km}$. ($150 \text{ km} \le 400 \text{ km}$)
• The second toll gate is at $2 \times 150 \text{ km} = 300 \text{ km}$. ($300 \text{ km} \le 400 \text{ km}$)
• The third toll gate would be at $3 \times 150 \text{ km} = 450 \text{ km}$. ($450 \text{ km} > 400 \text{ km}$, so this toll gate is beyond the destination).

Alternatively, we can use division and the floor function:

The information about the "70-sider boss", "Bamenda to Yaounde", and "driver pay P 500frs per km" is additional context and not required to solve for the number of toll gates.

The number of toll gates between the two locations is $\text{2}$.