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a group of 190 tourists can be carried either in 4 buses and 2 vans or a bus and a van .Find the capacity of each vehicle .​

User Yonlif
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1 Answer

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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.

User Tony Miller
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