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
