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yulyashka [42]
3 years ago
8

In a sample of students, 125 said they exercise on a regular basis. How large was the sample if 27.3% said they exercised on a r

egular basis?
Mathematics
2 answers:
Gwar [14]3 years ago
7 0
125 27.3
—— = ——
X 100

125 x 100 = 12500
12500/27.3 = 456.8

458 people
krek1111 [17]3 years ago
5 0

First, let's declare a variable

x = # of students

Now, let's create an equation to model the problem.

x * 0.273 = 125

Divide both sides by 0.273

x = 457.8 = 458 students.

Note, I rounded to the nearest whole number.

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Factors of 28: 1, 2, 4, 7, 14, 28
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Out of those factors, we can see that 1 and 7 are the common factors, but 7 is the greatest which makes it our GCF. 

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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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3 years ago
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