Alan scored 95 out of 100 on his math test.

A.) What percent did he score?B.) If there were 60 questions on the exam, how many questions did Alan get correct?

1 answer

A.) To find out what percent Alan scored, you can use the formula:

\[ \text{Percent Score} = \left(\frac{\text{Score}}{\text{Total Possible Score}}\right) \times 100 \]

Substituting the values:

\[ \text{Percent Score} = \left(\frac{95}{100}\right) \times 100 = 95% \]

So, Alan scored 95%.

B.) If there were 60 questions on the exam and Alan scored 95 out of 100, to find out how many questions he got correct, we can calculate his score as a proportion of the total number of questions:

\[ \text{Number of Correct Answers} = \left(\frac{\text{Score}}{\text{Total Possible Score}}\right) \times \text{Total Number of Questions} \]

Substituting the known values:

\[ \text{Number of Correct Answers} = \left(\frac{95}{100}\right) \times 60 = 57 \]

Therefore, Alan got 57 questions correct.