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?

Explanation:

Step1: Define the variable

Let \( x \) be the total number of items in the sample.

Step2: Set up the equation

We know that 80% of the items are faulty, and the number of faulty items is 88. So we can write the equation: \( 0.8x = 88 \) (since 80% is equal to 0.8 in decimal form).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.8: \( x=\frac{88}{0.8} \)
Calculating the right - hand side, \( \frac{88}{0.8}=\frac{880}{8} = 110 \)

Answer:

The total number of items in the sample is 110.