Video: Finding the Percent of a Quantity with Simple Fractions and Integers

If Daniel answered 60% of the questions on his quiz correctly, and the quiz had 10 questions, determine the number of questions he answered correctly.

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Video Transcript

If Daniel answered 60 percent of the questions on his quiz correctly, and the quiz had 10 questions, determine the number of questions he answered correctly.

We are told that the quiz had 10 questions altogether. Therefore, 100 percent is equal to 10. We can calculate 10 percent by dividing this by 10, as 100 divided by 10 equals 10. 10 divided by 10 is equal to one. Therefore, 10 percent equals one question. Daniel answered 60 percent of the questions correctly, and 10 multiplied by six is equal to 60. One multiplied by six is equal to six. Therefore, 60 percent equals six questions. We can therefore conclude that Daniel answered six questions correctly. 60 percent of 10 is equal to six.

We could also have answered this question by firstly writing 60 percent as a fraction. As percent means out of 100, 60 percent is equal to 60 out of 100. We can then multiply this fraction by the number of questions, in this case 10. 60 over 100 can be simplified to six over 10 by dividing numerator and denominator by 10. We can also cancel the 10 on the top with the 10 on the bottom. This leaves us with six over one multiplied by one. Once again, we get a final answer of six. 60 percent of 10 equals six.

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