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3 years ago

PLEASE HELP!! this is due really soon

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

8 0

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.

GuDViN [60]3 years ago

7 0

Answer: There are 467 students at Holmes Junior High.

There are 342 students at Harper Junior High.

_________________________________________________

Step-by-step explanation:

_________________________________________________

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

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

Harper Junior High has: " x" students:

_________________________________________________

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" ;

____________________________________________

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.

_________________________________________________

Do our answers make sense:

Does: " 342 + 467 =? 809 ?? " ;

→ Yes!

_________________________________________________

Answer: There are 467 students at Holmes Junior High.

There are 342 students at Harper Junior High.

_________________________________________________

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