Final answer:
To determine how many questions the second friend answered correctly, calculate the percentage of correct answers from the first friend and apply it to the second friend's test. The first friend got 80% correct, so the second friend also got 80% of 75 questions correct, which is 60 questions.
Step-by-step explanation:
The question requires us to find out how many questions the second friend answered correctly on a 75-question math test, given that she got the same percentage correct as the first friend who answered 96 out of 120 questions.
To find the percentage of questions the first friend got right, we divide 96 by 120 and multiply by 100:
- Percentage Correct = (96 / 120) * 100 = 80%
Next, we apply this percentage to the second friend's 75-question test:
- Number Correct = 75 * (80/100) = 60
Therefore, the second friend answered 60 questions correctly.