At a recent job fair, there were 2/3 as many inquiries about jobs in health care as in electronics and 50 fewer inquiries about teaching as electronics. A reported 430 inquiries were made about all three fields. How many inquiries were made about teaching?

  130

Step-by-step explanation:

Let h, t, e represent the number of inquiries in health, teaching, and electronics. The given relations are ...

  h = 2/3e

  t = e -50

  h + t + e = 430

Using the first two equations, we can substitute into the third equation:

  (2/3e) +(e -50) +e = 430

  8/3e = 480 . . . . . . . . . . . . . collect terms, add 50

  e = 180 . . . . . . . . . . . . . . multiply by 3/8

  h = 2/3(180) = 120

  t = 180 -50 = 130

130 inquiries were made about teaching.

Additional comment

180 inquiries were made about electronics.

120 inquiries were made about health care.

f is the midpoint of