SOLUTION: Zeno, Orb, Yurko 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 ha

Question 250849: Zeno, Orb, Yurko 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 Zeno's space station. yurko travels as far as the total distance traveled by zeno and Orb, while sam travels three times the distance that Zeno travels. How many space miles does each friend travel to school, if the friends together travel a total of 888 space miles?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let:

z = distance zeno has to travel
o = distance that orb has to travel
y = distance that yurko has to travel
s = distance that sam has to travel.

from the problem statement:

o = z/2
y = z + o which is equivalent to z + z/2
s = 3z

total distance they trafel is 888 space miles.

this means that:

z + o + y + s = 888

substituting all values in terms of z, we get:

z + (z/2) + (z + z/2) + 3z = 888

simplifying by removing parentheses gets:

z + z/2 + z + z/2 + 3z = 888

combining like terms gets:

6z = 888

dividing both sides of the equation by 6 gets:

z = 148

o = z/2 = 148/2 = 74

y = z + o = 148 + 74 = 222

s = 3z = 444

148 + 74 + 222 + 444 = 888 confirming the answers are good.

your answer is:

zeno travels 148 space miles
orb travels 74 space miles
yurko travels 222 space miles
sam travels 444 space miles

RELATED QUESTIONS
Rachel takes three to commute to her job the commute takes her on average , 1hour and 20... (answered by Alan3354)

Rachel takes three trains to commute to her job the commute takes her on average , 1hour... (answered by ikleyn)

Carl and Antonio are friends who live 20 miles apart. They are making plans to meet up.... (answered by stanbon)

Two friends plan to meet at a restaurant for lunch. They both leave their homes at... (answered by VFBundy,greenestamps)

A researcher finds a positive correlation between the amount of wine people drink and the (answered by robertb)

There are 2,962,856 people who live in Wonder City, and 39.6 percent of them are... (answered by josmiceli)

66% of students as a university live on campus. A random sample found that 20 of 40 male (answered by stanbon)

Imagine a planet with 3 moons. Moon A completes its revolution around the planet in just (answered by Alan3354)

According to Gallup sannual poll on personal finances, while most U.S. workers reported... (answered by harpazo)