Question

There are 72 questions on a college entrance examination.  One point is awarded for each correct​ answer, and one third of a one third of a point is deducted for each incorrect answer. How many questions does Tami need to answer correctly in order to score at least 60 points on the​ test? Assume that she answers every question.

Answer 1

"one third of a one third of a point is deducted"
- why not just say say: " 1/9 of a point is deducted for an incorrecte answer" ??

number correct --- x
number incorrect --- 72-x

x - (1/9)(72-x) ≥ 60

x - 8 + (1/9)x ≥ 60
(10/9)x ≥ 68
x ≥ 61.2

So Tami must answer at least 62 correctly.

check:
with 61 correct:
score = 61 - (1/9)(11) = 59.78
with 62 correct
score = 62 - (1/9)(10) = 60.89 which is ≥ 60

Answer 2

it is incorrect, can u please help me see why?

Answer 3

probably because the 1/3 of 1/3 is a typo.

If you discount the stuttering, you have

x - (1/3)(72-x) ≥ 60

Solve that and see what you get. If it works, next time check the solution and see whether it interprets your problem correctly, instead of just blindly accepting the answer.