To find the percentage of questions Mackenzie answered correctly on her final exam, we can use the formula:

$\text{Percentage} = \left( \frac{\text{Number of Correct Answers}}{\text{Total Number of Questions}} \right) \times 100$

Given:

• Number of Correct Answers = 72
• Total Number of Questions = 160

Now, substitute the values into the formula:

$\text{Percentage} = \left( \frac{72}{160} \right) \times 100$

First, divide 72 by 160:

$\frac{72}{160} = 0.45$

Now, multiply by 100 to convert the decimal to a percentage:

$0.45 \times 100 = 45\%$

So, Mackenzie answered 45% of the questions correctly on her final exam.

Would you like further clarification on the steps or other related questions?

Here are 5 related questions to expand your understanding:

1. How would the percentage change if Mackenzie had answered 80 questions correctly?
2. What is the formula for finding the percentage of correct answers on a test?
3. How do you calculate the percentage of incorrect answers on a test?
4. If the test had 200 questions and she answered 90 correctly, what would her percentage be?
5. How do you calculate the percentage of correct answers if the total number of questions is unknown?

Tip: Always remember to convert the fraction to a decimal first before multiplying by 100 to get the percentage!