Certainly! Let's break down the problem step by step to find the number of each type of vehicle that passed by a village road.
First, we are given that a total of 150 vehicles passed by in 2 hours.
We need to find out how many of these vehicles were scooters, bullock-carts, and tractors.
Step 1: Calculate the number of scooters.
According to the problem, one-third of the vehicles were scooters. So, we need to find one-third of 150.
[tex]\[ \text{Number of scooters} = \frac{1}{3} \times 150 \][/tex]
[tex]\[ \text{Number of scooters} = \frac{150}{3} \][/tex]
[tex]\[ \text{Number of scooters} = 50 \][/tex]
Therefore, there are 50 scooters.
Step 2: Calculate the number of bullock-carts.
One-fifth of the vehicles were bullock-carts. So, we need to find one-fifth of 150.
[tex]\[ \text{Number of bullock-carts} = \frac{1}{5} \times 150 \][/tex]
[tex]\[ \text{Number of bullock-carts} = \frac{150}{5} \][/tex]
[tex]\[ \text{Number of bullock-carts} = 30 \][/tex]
Therefore, there are 30 bullock-carts.
Step 3: Calculate the number of tractors.
The remaining vehicles are tractors. To find this, we subtract the number of scooters and bullock-carts from the total number of vehicles.
[tex]\[ \text{Number of tractors} = 150 - \text{Number of scooters} - \text{Number of bullock-carts} \][/tex]
[tex]\[ \text{Number of tractors} = 150 - 50 - 30 \][/tex]
[tex]\[ \text{Number of tractors} = 70 \][/tex]
Therefore, there are 70 tractors.
Summary:
- Number of scooters = 50
- Number of bullock-carts = 30
- Number of tractors = 70
So, the number of each type of vehicle is:
- Scooters: 50
- Bullock-carts: 30
- Tractors: 70
