In a different test, the mean score of 50 students is 54%
the students are split in two groups. group a and group b.
the mean score for group a is 60% and the mean score for group b is 50%
how many students are in group b and how many are in group b?

Group A has 20 students

Group B has 30 students

Step-by-step explanation:

The mean score of 50 students is 54%, so the sum of 50 scores, divided by 50 is 54%.  That means that 50(0.54) = 27 points were scored between the 50 students.

Let x represent the number of students in Group A

Let y represent the number of students in Group B

We have

0.6x + 0.5y = 0.54(50)    (the points scored, times their averages is the total)

and

x + y = 50

Use substitution to solve...solve the second equation for one variable...

x = 50 - y

Now plug that into the first equation...

0.6(50 - y) + 0.5y = 27

     30 - 0.6y + 0.5y = 27

             -0.1y = -3

                   y =  30

So there are 30 students in group B, therefore there are 20 students in group A          

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step-by-step explanation:

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