Question

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 888 miles to camp..How far does each of them travel

Answer 1

Sara-148 miles
Eli-74
Ashley-222
Hazel-444

I used Eli as "1" and Sara traveled twice that so "2". Ashley traveled as far as both so 1+2="3". Hazel traveled three times as far as Sara so 2x3="6". Then add them all together: 1+2+3+6=12. Then I divided 888 by 12 to get 74. 1x74=74 2x74=148 3x74=222 and 6x74=444. Sorry if that doesn't make sense <3

Answer 2

• 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:

From these four people, we start from Eli.

Let's call Eli's travel as d.

$\boxed{ \ Eli's \ travel = d \ }$

Sara travels twice as far as Eli.

$\boxed{ \ Sara's \ travel = 2d \ }$

Ashley travels as far as Sara and Eli together.

$\boxed{ \ Ashley's \ travel = d + 2d \rightarrow \boxed{ \ Ashley's \ travel = 3d \ }}$

Hazel travels three times as far as Sara.

$\boxed{ \ Hazel's \ travel = 3 \times 2d \rightarrow \boxed{ \ Hazel's \ travel = 6d \ }}$

In total, all four travel a total of 888 miles to camp.

$\boxed{ \ d + 2d + 3d + 6d = 888 \ }$

$\boxed{ \ 12d = 888 \ }$

$\boxed{ \ 12 \times d = 888 \ }$

$\boxed{ \ d = 888 \div 12 \ }$

$\boxed{\boxed{ \ d = 74 \ }}$

We have obtained d. The final step is to substitute the value of d for each person's travel.

• $\boxed{ \ Eli's \ travel = d \rightarrow \boxed{ \ Eli's \ travel = 74 \ miles \ }}$
• $\boxed{ \ Sara's \ travel = 2d \rightarrow \boxed{ \ Sara's \ travel = 2 \times 74 = 148 \ miles \ }}$
• $\boxed{ \ Ashley's \ travel = 3d \rightarrow \boxed{ \ Ashley's \ travel = 3 \times 74 = 222 \ miles \ }}$
• $\boxed{ \ Hazel's \ travel = 6d \rightarrow \boxed{ \ Hazel's \ travel = 6 \times 74 = 444 \ miles \ }}$

Thus we already know how far each of them travels.

- - - - - - -

The summary scheme is as follows:

• Eli's travel ⇒ $\boxed{d}$
• Sara's travel ⇒ $\boxed{d}\boxed{d}$
• Ashley's travel ⇒ $\boxed{d}\boxed{d}\boxed{d}$  
• Hazel's travel ⇒ $\boxed{d}\boxed{d}\boxed{d}\boxed{d}\boxed{d}\boxed{d}$

$\boxed{d}\boxed{d}\boxed{d}\boxed{d}\boxed{d}\boxed{d}\boxed{d}\boxed{d}\boxed{d}\boxed{d}\boxed{d}\boxed{d} = 888$

$\boxed{ \ 12 \times d = 888 \ }$

$\boxed{ \ d = 888 \div 12 \ }$

$\boxed{\boxed{ \ d = 74 \ }}$

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