- Sara: 148 miles
- Eli: 74 miles
- Ashley: 222 miles
- Hazel: 444 miles
Further explanation
Given:
- 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.
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.
\(\boxed{ \ Eli's \ travel = x \ }\)
Sara travels twice as far as Eli.
\(\boxed{ \ Sara's \ travel = 2x \ }\)
Ashley travels as far as Sara and Eli together.
\(\boxed{ \ Ashley's \ travel = x + 2x \rightarrow \boxed{ \ Ashley's \ travel = 3x \ }}\)
Hazel travels three times as far as Sara.
\(\boxed{ \ Hazel's \ travel = 3 \times 2x \rightarrow \boxed{ \ Hazel's \ travel = 6x \ }}\)
In total, all four travel a total of 888 miles to camp.
\(\boxed{ \ x + 2x + 3x + 6x = 888 \ }\)
\(\boxed{ \ 12x = 888 \ }\)
\(\boxed{ \ 12 \cdot x = 888 \ }\)
\(\boxed{ \ x = 888 \div 12 \ }\)
\(\boxed{\boxed{ \ x = 74 \ }}\)
We have obtained x. The final step is to substitute the value of x for each person's travel.
- \(\boxed{ \ Eli's \ travel = x \rightarrow \boxed{ \ Eli's \ travel = 74 \ miles \ }}\)
- \(\boxed{ \ Sara's \ travel = 2x \rightarrow \boxed{ \ Sara's \ travel = 2 \times 74 = 148 \ miles \ }}\)
- \(\boxed{ \ Ashley's \ travel = 3x \rightarrow \boxed{ \ Ashley's \ travel = 3 \times 74 = 222 \ miles \ }}\)
- \(\boxed{ \ Hazel's \ travel = 6x \rightarrow \boxed{ \ Hazel's \ travel = 6 \times 74 = 444 \ miles \ }}\)
Thus we already know how far each of them travels.
- - - - - - -
The summary scheme is as follows:
- Eli's travel ⇒ \(\boxed{x}\)
- Sara's travel ⇒ \(\boxed{x}\boxed{x}\)
- Ashley's travel ⇒ \(\boxed{x}\boxed{x}\boxed{x}\)
- Hazel's travel ⇒ \(\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\)
\(\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x}\boxed{x} = 888\)
\(\boxed{ \ 12 \cdot x = 888 \ }\)
\(\boxed{ \ x = 888 \div 12 \ }\)
Hence, the value of x is \(\boxed{\boxed{ \ x = 74 \ }}\)
Learn more
- How many gallons of water flow over the falls in 1 minute?https://brainly.com/question/6246525#
- How much money will the school spend for the tickets? https://brainly.com/question/11541124
- What is the area of 30 such stones? https://brainly.com/question/360871
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
