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28 January, 03:53

There is a total of 270 men women and children on a train the ratio of men to women is 4:5 the ratio of women to children is 10:9 how many men are on the train

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  1. 28 January, 04:22
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    80

    Step-by-step explanation:

    Let's say M is the number of men, W is the number of women, and C is the number of children.

    M + W + C = 270

    M/W = 4/5

    W/C = 10/9

    We have three equations and three variables, so we can solve this. Let's use substitution.

    W = 5/4 M

    C = 9/10 W

    Substitute into the first equation:

    M + 5/4 M + 9/10 W = 270

    Substitute again:

    M + 5/4 M + 9/10 (5/4 M) = 270

    Solve:

    M + 5/4 M + 9/8 M = 270

    8/8 M + 10/8 M + 9/8 M = 270

    27/8 M = 270

    M = 80

    There are 80 men on the train.
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