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

Question

IrinaK [193]

2 years ago

9

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 4 travel a total of 888 miles to camp. How far do each of them travel?

Mathematics

2 answers:

krok68 [10] · Answer 1 · 2022-05-14T02:54:05+03:00

<h3>Eli travels 74 miles</h3><h3>Sara travels 148 miles</h3><h3>Ashley travels 222 miles</h3><h3>Hazel travels 444 miles</h3>

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method </em>

<em>Substitution Method </em>

<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let :

<em>Sara's Distance = s</em>

<em>Eli's Distance = e</em>

<em>Ashely's Distance = a</em>

<em>Hazel's Distance = h</em>

<em>Sara travels twice as far as Eli when going to camp.</em>

$s = 2e$

<em>Ashley travels as far as Sara and Eli together.</em>

$a = s + e = 2e + e = 3e$

<em>Hazel travels 3 times as far as Sara.</em>

$h = 3s = 3(2e) = 6e$

<em>In total, all 4 travel a total of 888 miles to camp.</em>

$s + a + h + e = 888$

$2e + 3e + 6e + e = 888$

$(2 + 3 + 6 + 1)e = 888$

$12e = 888$

$e = 888 \div 12$

$e = \boxed {74 ~ \texttt{miles}}$

$s = 2e = 2(74) = \boxed {148 ~ \texttt{miles}}$

$a = 3e = 3(74) = \boxed {222 ~ \texttt{miles}}$

$h = 6e = 6(74) = \boxed {444 ~ \texttt{miles}}$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246

Elimination Method : brainly.com/question/11233927

Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

Talja [164] · Answer 2 · 2022-05-14T01:15:34+03:00

Eli travels the shortest distance, so she'll be the main letter for algebra. She can be 'e'.
Sara travels twice as far, so her distance is 2e.
Ashley travels Sara and Eli, so 2e + e, or 3e
Hazel travels 3 times Sara, so 2e * 3, or 6e. Together they all travel 888 miles.
So e + 2e + 3e + 6e = 888
Simply, 12e = 888
Therefore, e = 888/12, or 74
So Eli travels 1*74 (74) miles
Sara travels 2*74 (148) miles
Ashley travels 3*74 (222) miles
Hazel travels 6*74 (444) miles