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23 August, 04:59

Two cargo trains are linked together, making of a total of 22 cars. The cars from one of the trains are carrying 15 tons each, and those from the other train are carrying 20 tons each. If the total cargo weight ranges from 380 to 400 tons, what is the range of the number of 20 tons cars? (Fill in the equation)

Let x be the number of 20 tons cars.

380 < 15 () + 20 < 400

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  1. 23 August, 07:08
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    Let x be the number of 20 ton cars

    Then,

    380<{15 (22-x) + 20x}<400

    380<{330-15x+20x}<400

    380<{330+5x}<400

    Subtract 330 on both sides

    50<5x<70

    Divide both sides by 5;

    10
    Therefore, the range of 20 tonne cars is between 10 and 14 cars.
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