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3 years ago

14

Solve this problem by defining a variable and solving an equation. write your solution in a sentence. West high school's populat

ion is 250 students fewer than twice the population of east high school. The two schools have a total of 2858 students. How many students attend east high school?

1 answer:

Flura [38]3 years ago

6 0

P+(2p-250)=2858 where p equals East High School's population
simplify (combine like terms)
3p-250=2858
add 250 to each side of the equation
3p=3108
divide each side by 3
p=1036
1036 students attend East High School.

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1 year ago

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$9|4p + 2| + 8 = 35$

$
9|4p+2|=35-8
 
$ $Subtract \ 8 \ from \ both \ sides$

$9|4p+2|=27

 
$

$|4p+2|= \dfrac{27}{9}$ $Divide \ both \ sides \ by \ 9$

$|4p+2|=3$

$Break \ down \ the \ problem \ into \ these \ 2 \ equations$

$
4p+2=3
 
$

$-(4p+2)=3$

$Solve \ the \ 1st \ equation: \ 4p+2=3$

$4p=3-2$   <span> $Subtract \ 2 \ from \ both \ sides$
</span>
$4p=1$

$p= \dfrac{1}{4}$   <span> $Divide \ both \ sides \ by \ 4$
</span>
$Solve \ the \ 2nd \ equation: \ -(4p+2)=3$

$-4p−2=3$    $Simplify \ brackets$

$-4p=3+2$ <span> $Add \ 2 \ to \ both \ sides$
</span>
$-4p=5$

$p= -\dfrac{5}{4}$

$Collect \ all \ solutions$

$p= -\dfrac{5}{4}$ , $p= \dfrac{1}{4}$

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3 years ago