Question
Donovan took a math test and got 35 correct and 10 incorrect answers. What was the percentage of correct answers? (Round to the nearest hundredth)
- 78%
- 77%
- 77.777%
- 87%
Hint:
1. When a certain quantity is divided into 100 equal parts and a certain part of it is to be expressed in terms of the whole quantity, that portion is called as a percent, represented with a % sign.
2. Percentage of correct answers = Number of correct answers/ Total number of answers * 100.
3. Total number of answers = Number of correct answers + Number of incorrect answers.
The correct answer is: 77.777%
Given-
Number of correct answers = 35
Number of incorrect answers = 10
To find-
Percentage of correct answers
Solution-
We know that-
Total number of answers = Number of correct answers + Number of incorrect answers.
∴ Total number of answers = 35 + 10
∴ Total number of answers = 45 .......................... (Equation i)
Percentage of correct answers = Number of correct answers/ Total number of answers * 100
∴ Percentage of correct answers = 35 / 45 * 100 ....................... (From given information & Equation i)
∴ Percentage of correct answers ≈ 77.777%
Final Answer- Option 'a' i.e. '78%' is the correct answer to the given question.
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