Question

PLEASE HELP!! this is due really soon

Answer 1

Answer:

y=310

x=415

Step-by-step explanation:

x= Holmes Junior High

y= Harper Junior High

x has 105 more students than y. so, x=y+105

and if x and y are merged, you'll have 725 students. so, x+y=725

now you have:

x=y+105

x+y=725

now you can put the x of the first equation, in the second equation to find y :

(y+105)+y=725

2y+105=725

2y=725-105

2y=620

y=310

now put y in either 1st or the second equation. I'm using the 1st equation:

x=310+105

x=415

if anything is unclear, ask freely.

Answer 2

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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