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Problem-Solving and Data Analysis / Percentages Difficulty: Medium

In a sample, $80 percent sign$ of the items are faulty. There are $88$ faulty items in the sample. How many total items are in the sample?

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Explanation

The correct answer is $110$ . Let $x$ represent the total number of items in the sample. It’s given that $80 percent sign$ of the items are faulty and that there are $88$ faulty items in the sample. Therefore, $80 percent sign$ of $x$ is $88$ . Since $80 percent sign$ can be rewritten as $StartFraction 80 Over 100 EndFraction$ , it follows that $\frac{80}{100} x = 88$ . Multiplying both sides of this equation by $100$ yields $80 x equals 8,800$ . Dividing both sides of this equation by $80$ yields $x equals 110$ . Therefore, there are $110$ total items in the sample.