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

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