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18 June, 00:49

Sara travels twice as far as Eliot when going to camp. henry travels as far as Sara and Eliot together. Jordan travels time as far as Sara. In total, all four travel 120 miles to camp. How far does each of them travel

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  1. 18 June, 02:37
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    Eliot = 10 miles

    Sara = 20 miles

    Henry = 30 miles

    Jordan = 60 miles

    Completed question;

    Sara travels twice as far as Eliot when going to camp. henry travels as far as Sara and Eliot together. Jordan travels 3 times as far as Sara. In total, all four travel 120 miles to camp. How far does each of them travel

    Step-by-step explanation:

    Let x, y, z, w represent the distance travelled by Eliot, sara, henry and jordan respectively.

    In total, all four travel 120 miles to camp;

    x+y+z+w = 120 ... 1

    Sara travels twice as far as Eliot when going to camp;

    y = 2x ... 2

    henry travels as far as Sara and Eliot together;

    z = x + y = x + 2x = 3x (Substitute eqn 2)

    z = 3x ... 3

    Jordan travels time as far as Sara;

    w = 3y = 3 (2x) = 6x

    w = 6x ... 4

    Substituting equation 2,3,4 into 1

    x+y+z+w = 120

    x + 2x + 3x + 6x = 120

    12x = 120

    x = 120/12 = 10 miles

    From equation 2

    y = 2x = 2 (10) = 20 miles

    From equation 3;

    z = 3x = 3 (10) = 30 miles

    From equation 4;

    w = 6x = 6 (10) = 60 miles

    Therefore;

    Eliot = 10 miles

    Sara = 20 miles

    Henry = 30 miles

    Jordan = 60 miles
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