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Select the correct answerIn a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ?Options10090110180

Question

Select the correct answerIn a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ?Options10090110180

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Solution

Let's solve this step by step:

  1. Let's assume the number of two wheelers is x and the number of four wheelers is y.

  2. According to the problem, we have two equations based on the total number of vehicles and the total number of wheels. They are:

    x + y = 200 (This is because the total number of vehicles is 200)

    2x + 4y = 580 (This is because the total number of wheels is 580. Since each two wheeler has 2 wheels and each four wheeler has 4 wheels)

  3. We can simplify the second equation to x + 2y = 290 by dividing the whole equation by 2.

  4. Now we have a system of two equations:

    x + y = 200

    x + 2y = 290

  5. If we subtract the first equation from the second, we get y = 90.

So, the total number of four wheeler vehicles in the parking lot is 90.

This problem has been solved

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