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Holmes Junior High has 125 more students than Harper Junior High. When the two schools are merged there will be 809 students. How many students currently attend each school?

Respuesta :

Answer:  There are 467 students at Holmes Junior High.

               There are 342 students at Harper Junior High.

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Step-by-step explanation:

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Let " x" represent the number of students at Harper Jr. High.


Holmes Junior has:  " (x + 125) "  students .

Harper Junior High has:  " x"  students:

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Together, the total number of students equal:  " 809 " students.

so:  " x + (x + 125) = 809 " .

We want to solve for "x" and " (x + 125)" .

We want to solve for "x" ;  

 then we can solve for " (x + 125) "  by adding "125" ;

                                                       to our "solved value for "x" ;

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   x + (x + 125)  = 809 .

  →  1x + 1x + 125 = 809 ;

  →   2x + 125 = 809  ;

Now, subtract "125" from each side of the equation:

  →   2x + 125 - 125 = 809 - 125 ;

  →   2x  =  684 ;

Now, divide each side of the equation by "2" ;

     to isolate:  "x" on one side of the equation; & to solve for "x" ;

  →   2x/ 2 =  684 / 2  ;

to get:

  →    x = 342 ;  which is the total number of students at Harper Jr. High.

Now,  to solve for:  " (x + 125)" ;

Plug in:  "342" for "x" ;

 →  " (342 + 125) " = " 467 " '

 →  which is the total number of students at Holmes Jr. High.

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Do our answers make sense:

Does:  " 342 + 467 =?  809 ?? " ;

          →  Yes!

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Answer:  There are 467 students at Holmes Junior High.

                There are 342 students at Harper Junior High.

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Hope this helps!

    Best wishes to you in your academic endeavors

              — and within the "Brainly" community!

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