Question

In a 50- question test, the highest score in the class is three times the lowest score minus four. The difference between the highest score and the lowest score is 30. What is the highest score? A) 37 B) 27 C) 47 D)28

Answer 1

Answer:

Highest score is 21.5

Step-by-step explanation:

Let the highest score be h

Let the lowest score be l

Therefore

h = 3l - 4 (1)

and

h - l = 30 (2)

I. E.

h = 30 - l (3)

Substituting (3) in (1)

30 - l = 3l - 4

Collecting like terms

30 + 4 = 3l + l

34 = 4l

l = 34/4

l = 8.5

Then substitute l = 8.5 in (1)

h = 3l - 4

h = 3(8.5) - 4

h = 25.5 - 4

h = 21.5