1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
murzikaleks [220]
3 years ago
5

sara travels twice as far as Eli when going to camp. Ashley travels as far as Sara and Eli together. Hazel travels 3 times as fa

r as Sara. In total , all four travel a total of 888 miles to camp. How far do each of them travel?

Mathematics
2 answers:
Genrish500 [490]3 years ago
8 0
Let's represent how far Eli travels as x.
Sara travels twice as far as that, so 2x.
Ashley travels as far as Eli and Sara combined. x + 2x = 3x.
Hazel travels 3× as far as Sara, and 3×2x = 6x.

All of these add up to 888.
x + 2x + 3x + 6x = 888
Let's add up these like terms.
12x = 888
We can then divide each side by 12...
x = 74

Therefore, Eli traveled 74 miles!
We can use this value to figure out everyone else's distances as well.
Sara = 2 × 74 = 148
Ashley = 3 × 74 = 222
Hazel = 6 × 74 = 444
uysha [10]3 years ago
6 0
  • 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 \ }

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. Meaning, all of the above adds up to 888.

\boxed{ \ x + 2x + 3x + 6x = 888 \ }

\boxed{ \ 12x = 888 \ }

\boxed{ \ 12 \cdot x = 888 \ }

Both sides multiplied by 12.

\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 \ }}

<h3>Learn more</h3>
  1. How many gallons of water flow over the falls in 1 minute?brainly.com/question/6246525#
  2. How much money will the school spend for the tickets? brainly.com/question/11541124
  3. What is the amount of apple juice in each bottle? brainly.com/question/5798698

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

You might be interested in
What conclusions can you draw about the two track teams from the data shown?
kumpel [21]
Which data shown exactly?
3 0
3 years ago
Read 2 more answers
Can someone explain to me taxes?
jeka94

taxes
According to the oxford dictionary, the word taxes defines as a compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

explanation
Money is taken from your yearly earnings to pay for services such as the Police, Emergancy Services, Military, Schools, Postal Service ect. It is also used to pay workers who work in a federal agency such as Postal Workers and the FBI. Citizens of the United States are taxed on items that are non-edible, such as a TV, and phones in stores. Tax percentages differ in every state.

Taxes are destributed to states so the states could build roads, schools, police stations and a lot more stuff.

The country can run Social Programs such as Social Security from taxes.
5 0
3 years ago
1. If 9 students sharpen 18 pencils in 2 minutes, how many students will it take to sharpen 18 pencils in 1 minute?
Ad libitum [116K]
A) If 9 students sharpen 18 pencils in 2 minutes,Then if the time is halved, it will take twice as many men to sharpen 18 pencils.Hence it will take 18 students to sharpen 18 pencils in one minute B) y & 1/x. Then y = K/x where K is our constant of proportionality.Then K = yx. When x = -64 and y = -16 then K = -64 * -16 = 1024. Option DC) When x = 3 y = 8. So for an inverse variation K as calculated from B = 3 * 8 = 24.Then when K = 24 and y = 6; we have 24 = 6x. Hence x = 4. Option A
6 0
3 years ago
X(x) + 12x + 21 = 0 factor
Yakvenalex [24]
It is not factorable. Factors of 21 are. 21 and 1
7 and 3. None of those add up to 12
3 0
3 years ago
If 30 people were surveyed, how many more people voted for cheetahs than for house cats?
erica [24]

Answer:

You forgot to post the image :(

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What dimensions do you need to find the volume of a cone?
    8·2 answers
  • Need help on this please and thank you
    12·1 answer
  • When multiplying two numbers written in scientific notation, what do you do with the exponents of the 10?
    14·1 answer
  • To get the volume of a ____, multiply 4/3 by pi and then by the cube of the radius.
    6·2 answers
  • DUE BY 3:30 <br> For the following figure , the value of x is
    15·1 answer
  • Hello :) <br> Please help me solve this <br><br> Explain answer
    6·1 answer
  • If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
    15·2 answers
  • The quotient of 3 and a number x
    11·1 answer
  • On the last algebra test M students scored x on the test and N students
    12·2 answers
  • The table shows the amount of sugar needed to make lemonade. Are the quantities proportional? Explain which method you used and
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!