Answer:
the capacity of each bus (B) is 95 and the capacity of each van (V) is also 95.
Explanation:
Let's assume the capacity of a bus is "B" and the capacity of a van is "V".
According to the given information, a group of 190 tourists can be carried either in 4 buses and 2 vans or a bus and a van.
Using this information, we can form two equations:
Equation 1: 4B + 2V = 190 (equation representing the first scenario with 4 buses and 2 vans)
Equation 2: B + V = 190 (equation representing the second scenario with 1 bus and 1 van)
We can solve these equations simultaneously to find the values of B and V.
Multiplying Equation 2 by 2, we get:
2B + 2V = 380
Now, subtracting Equation 1 from the above equation, we get:
(2B + 2V) - (4B + 2V) = 380 - 190
2B - 4B = 190
-2B = -190
B = (-190) / (-2)
B = 95
Substituting the value of B into Equation 2, we can find V:
95 + V = 190
V = 190 - 95
V = 95
Therefore, the capacity of each bus (B) is 95 and the capacity of each van (V) is also 95.