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anzhelika [568]
3 years ago
14

There are 28 students in Mr. Flynn’s class. The ratio of his students who are in the play to those who are not in the play is 2:

5.
Mathematics
2 answers:
pickupchik [31]3 years ago
3 0
8 students in the play, 20 are not
balandron [24]3 years ago
3 0

Let the number of students who are in the play be 'x'

Total number of students = 28

So number of students who are not in the play are 28 - x

The ratio of number of student in a play to the number of students not in the play = 2 : 5

\frac{x}{28 - x} = \frac{2}{5}

Cross multiply

5x = 2(28 - x)

5x = 56 - 2x

Add + 2x on both sides, we get

5x + 2x = 56 - 2x + 2x

7x = 56

Divide both side by 7, to find x

\frac{7x}{7} = \frac{56}{7}

x = 8

So number of students who are in the play = 8

And number of students who are not in the play = 28 - x = 28- 8 = 20


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