Given:
Question:
How far does each of them travel?
The Process:
Notice of the four people, the easiest way is to start from Eli.
Let's call Eli's travel as x.
[tex]\boxed{ \ Eli's \ travel = x \ }[/tex]
Sara travels twice as far as Eli.
[tex]\boxed{ \ Sara's \ travel = 2x \ }[/tex]
Ashley travels as far as Sara and Eli together.
[tex]\boxed{ \ Ashley's \ travel = x + 2x \rightarrow \boxed{ \ Ashley's \ travel = 3x \ }}[/tex]
Hazel travels three times as far as Sara.
[tex]\boxed{ \ Hazel's \ travel = 3 \times 2x \rightarrow \boxed{ \ Hazel's \ travel = 6x \ }}[/tex]
In total, all four travel a total of 888 miles to camp. Meaning, all of the above adds up to 888.
[tex]\boxed{ \ x + 2x + 3x + 6x = 888 \ }[/tex]
[tex]\boxed{ \ 12x = 888 \ }[/tex]
[tex]\boxed{ \ 12 \cdot x = 888 \ }[/tex]
Both sides multiplied by 12.
[tex]\boxed{ \ x = 888 \div 12 \ }[/tex]
[tex]\boxed{\boxed{ \ x = 74 \ }}[/tex]
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.
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The summary scheme is as follows:
[tex]\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[/tex]
[tex]\boxed{ \ 12 \cdot x = 888 \ }[/tex]
[tex]\boxed{ \ x = 888 \div 12 \ }[/tex]
Hence, the value of x is [tex]\boxed{\boxed{ \ x = 74 \ }}[/tex]
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
