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19 April, 01:12

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

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  1. 19 April, 04:56
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    Fir tree = 9

    Pine tree = 12

    Step-by-step explanation:

    I'm assuming you need the height of the pine and fir tree.

    Set the height of the pine tree to p and the height of the fir tree to f.

    Now set up equations:

    The combined height is 21 -

    f + p = 21

    4 fir trees is 24 taller than 1 pine tree -

    4f = p + 24

    Subtact 24 from both sides

    4f - 24 = p

    Now substitute 4f - 24 = p into the first equation

    f + (4f - 24) = 21

    SImplify:

    f + 4f - 24 = 21

    5f - 24 = 21

    Add 24 on both sides

    5f = 45

    Divide by 5 on both sides

    f = 9

    The height of the fir tree is 9 meters.

    Now put the 9 into the f + p = 21

    f + p = 21

    9 + p = 21

    Subtract 9 on both sides

    p = 12

    The pine tree is 12 meters tall.
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