Question

The twenty-four students who earned A Honor Roll at Harmony School were twelve less than three times the number of students who earned B Honor Roll. How many students earned B Honor Roll?​

Answer 1

12 students earned B Honor Roll

Explanation:

Let A be the number of students who earned A Honor Roll and B the number who earned B.

We are told that A = 24,

and that A = 3B-12 [ . . .were twelve less than three times the number of students who earned B Honor Roll]

Since we know the value of A (24) use the second equation to find B:

A = 3B-12

24 = 3B-12

3B = 36

B = 12

CHECK:

Is 24 12 less than three times B(12)?

24 = 3*12 - 12?

24 = 36 - 12?

24 = 24

YES