- Sara: 148 miles
- Eli: 74 miles
- Ashley: 222 miles
- Hazel: 444 miles
<h3>
Further explanation</h3>
<u>Given:</u>
- Sara travels twice as far as Eli when going to camp.
- Ashley travels as far as Sara and Eli together.
- Hazel travels three times as far as Sara.
- In total, all four travel a total of 888 miles to camp.
<u>Question:</u>
How far does each of them travel?
<u>The Process:</u>
Notice of the four people, the easiest way is to start from Eli.
Let's call Eli's travel as x.
![\boxed{ \ Eli's \ travel = x \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20Eli%27s%20%5C%20travel%20%3D%20x%20%5C%20%7D)
Sara travels twice as far as Eli.
![\boxed{ \ Sara's \ travel = 2x \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20Sara%27s%20%5C%20travel%20%3D%202x%20%5C%20%7D)
Ashley travels as far as Sara and Eli together.
![\boxed{ \ Ashley's \ travel = x + 2x \rightarrow \boxed{ \ Ashley's \ travel = 3x \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20Ashley%27s%20%5C%20travel%20%3D%20x%20%2B%202x%20%5Crightarrow%20%5Cboxed%7B%20%5C%20Ashley%27s%20%5C%20travel%20%3D%203x%20%5C%20%7D%7D)
Hazel travels three times as far as Sara.
![\boxed{ \ Hazel's \ travel = 3 \times 2x \rightarrow \boxed{ \ Hazel's \ travel = 6x \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20Hazel%27s%20%5C%20travel%20%3D%203%20%5Ctimes%202x%20%5Crightarrow%20%5Cboxed%7B%20%5C%20Hazel%27s%20%5C%20travel%20%3D%206x%20%5C%20%7D%7D)
In total, all four travel a total of 888 miles to camp. Meaning, all of the above adds up to 888.
![\boxed{ \ x + 2x + 3x + 6x = 888 \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20x%20%2B%202x%20%2B%203x%20%2B%206x%20%3D%20888%20%5C%20%7D)
![\boxed{ \ 12x = 888 \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%2012x%20%3D%20888%20%5C%20%7D)
![\boxed{ \ 12 \cdot x = 888 \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%2012%20%5Ccdot%20x%20%3D%20888%20%5C%20%7D)
Both sides multiplied by 12.
![\boxed{ \ x = 888 \div 12 \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20x%20%3D%20888%20%5Cdiv%2012%20%5C%20%7D)
![\boxed{\boxed{ \ x = 74 \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%20%5C%20x%20%3D%2074%20%5C%20%7D%7D)
We have obtained x. The final step is to substitute the value of x for each person's travel.
Thus we already know how far each of them travels.
- - - - - - -
The summary scheme is as follows:
- Eli's travel ⇒
![\boxed{x}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%7D)
- Sara's travel ⇒
![\boxed{x}\boxed{x}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D)
- Ashley's travel ⇒
- Hazel's travel ⇒
![\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D)
![\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x} = 888](https://tex.z-dn.net/?f=%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%5Cboxed%7Bx%7D%20%3D%20888)
![\boxed{ \ 12 \cdot x = 888 \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%2012%20%5Ccdot%20x%20%3D%20888%20%5C%20%7D)
![\boxed{ \ x = 888 \div 12 \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20x%20%3D%20888%20%5Cdiv%2012%20%5C%20%7D)
Hence, the value of x is ![\boxed{\boxed{ \ x = 74 \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%20%5C%20x%20%3D%2074%20%5C%20%7D%7D)
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Keywords: Sara travels, twice, as far as, Eli, when going to camp, Ashley, Hazel, three times, In total, all four travel, 888 miles, how far, each, substitute