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OLga [1]
3 years ago
11

Sara travels twice as far as Eliot when going to camp. henry travels as far as Sara and Eliot together. Jordan travels time as f

ar as Sara. In total, all four travel 120 miles to camp. How far does each of them travel
Mathematics
1 answer:
ozzi3 years ago
3 0

Answer:

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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