A student took a history exam containing 80 questions. If the student answered 15\% of the… — ACT

A student took a history exam containing $80$ questions. If the student answered $15\%$ of the questions incorrectly, how many questions did the student answer correctly?

Answer: 68 questions

Answer

The student answered

68

questions correctly.

First, find the percentage of correct answers by subtracting the percentage of incorrect answers (

15\%

) from

100\%

, which gives

85\%

. Convert

85\%

to a decimal (

0.85

) and multiply it by the total number of questions (

80

80 \times 0.85 = 68

Step-by-Step Solution

Calculate the percentage of questions answered correctly.

85\%

Subtract the percentage of incorrect questions (

15\%

) from the total (

100\%

) to find the percentage of correct questions.

Convert the percentage of correct questions to a decimal.

0.85

Divide the percentage by

100

to express it as a decimal.

Multiply the total questions by the decimal value.

68

Multiplying the total number of questions by the proportion of correct answers gives the total number of correct questions:

80 \times 0.85 = 68

Key Concept

Calculating percentages of a whole number

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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