Posted by **Christopher** on Wednesday, May 7, 2014 at 10:23pm.

There are three times as many people in the psychology class as in the art history class. there are 16 more people in the algebra class then the art history class The total enrollment of the three classes is 86. How many students are enrolled in each class?.

So I know my equation involves 3, 16 and 8 . So am I multiplying and also dividing as well as subtracting?

- Algebra -
**Christopher**, Wednesday, May 7, 2014 at 10:29pm
Oops I meant to say 86.

- Algebra -
**Steve**, Thursday, May 8, 2014 at 12:13pm
call the classes p,h,a. The clues are:

p = 3h

a = h+16

p+a+h = 86

now start eliminating values:

p = 3h, so

3h+a+h = 86

a = h+16, so

3h + h+16 + h = 86

5h+16 = 86

5h = 70

h = 14

so, there are

14 art history students

42 psychology students

30 algebra students

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