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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