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27 January, 03:10

3900 workers in 3 buildings. twice as many work in largest building as the smallest of the 3. there are 500 more workers in the second largest building than the smallest. how many workers are in each building

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  1. 27 January, 06:33
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    Question:

    There are 3900 workers in the three main buildings downtown. Twice as many people work in the largest building as in the smallest of the three. There are 500 more workers in the second-largest building than in the smallest building. How many workers are in each building?

    Answer:

    There are 850 workers in smallest building and 1700 workers in largest building and 1350 workers in second largest building

    Solution:

    Let "b" be the number of workers in smallest building

    Given that Twice as many people work in the largest building as in the smallest of the three

    number of workers in largest building = 2b

    Given that There are 500 more workers in the second-largest building than in the smallest building

    Number of workers in second largest building = 500 + b

    Given that there are 3900 workers in 3 buildings

    b + 2b + 500 + b = 3900

    4b + 500 = 3900

    4b = 3900 - 500

    4b = 3400

    b = 850

    Thus there are 850 workers in smallest building

    workers in largest building = 2b = 2 (850) = 1700

    workers in second largest building = 500 + b = 500 + 850 = 1350

    Thus there are 850 workers in smallest building and 1700 workers in largest building and 1350 workers in second largest building
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