Zemo, Orb, Yuko, and Sam are friends who live on neighboring space stations of the planet Krayon. They commute to school every day by space shuttle. Orb's space station is one half as far from Krayon as Zemo's space station. Yuko travels as far as the total distance traveled by Zemo and Orb. Sam travels 3 times the distance that Zemo travels. How many space miles does Orb travel to school if the friends together travel 888 space miles? (Hint: write an algebraic equation)

x = miles for Orb

2x = miles for Zeno
x+2x=3x = miles for Yuko
3*2x=6x = miles for Sam

add them all up and the total is 888
solve for x

To solve this problem, let's assign variables to the distances traveled by each friend.

Let's assume that Zemo travels 'x' space miles to school. Therefore, Orb's distance to school would be half of Zemo's distance, which is (1/2)x.

Yuko's distance is equal to the sum of Zemo and Orb's distances, which is x + (1/2)x = (3/2)x.

Sam's distance is three times Zemo's distance, which is 3x.

Now, let's add up the distances of all four friends:
x + (1/2)x + (3/2)x + 3x = 888

To solve for x, we can simplify the equation:
x + (1/2)x + (3/2)x + 3x = 888
(11/2)x + (5/2)x = 888
(16/2)x = 888
8x = 888
x = 111

So Zemo travels 111 space miles to school.

Now, to find how many space miles Orb travels:
Orb travels half of Zemo's distance, which is (1/2) * 111 = 55.5 space miles.

Therefore, Orb travels 55.5 space miles to school.