In a sample, 80 % of the items are faulty. There are 88 faulty items in the sample. How many

Question

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

Accepted Answer

The correct answer is 110 . Let x represent the total number of items in the sample. It&rsquo;s given that 80 % of the items are faulty and that there are 88 faulty items in the sample. Therefore, 80 % of x is 88 . Since 80 % can be rewritten as 80 100 , it follows that 80 100 x = 88 . Multiplying both sides of this equation by 100 yields 80 x = 8,800 . Dividing both sides of this equation by 80 yields x = 110 . Therefore, there are 110 total items in the sample.

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