Question

Kyle often pretends to take showers. He was told $ 330 $ times to take a shower, but only took one $ 264 $ times. What percentage of the time did he pretend to take a shower?

Answer 1

Hint: Here we are given the frequency or repetition of the times of shower kyle takes. Also, given that there is a difference between the number of times he actually took shower and pretends to take one. So here will use the difference between both the times and then will take the percentage of that resultant value.

Complete step by step solution:
Let us assume that the percentage of the shower Kyle pretended be “x”
First of all find the difference between the total number of showers and the actual number of showers taken which will give the total number of pretended showers.
Number of pretended showers $ = 330 - 264 $
Number of pretended showers $ = 66 $
Now, the percentage of $ 66 $ out of $ 330 $ can be written as –
 $ 330 \times \dfrac{x}{{100}} = 66 $
Cross multiply where the numerator of one side is multiplied with the denominator of the opposite side.
 $ 330x = 66 \times 100 $
Term multiplicative on one side if moved to the opposite side then it goes to the denominator.
 $ \Rightarrow x = \dfrac{{66 \times 100}}{{330}} $
Common factors from the numerator and the denominator cancel each other.
 $ \Rightarrow x = 20 $
Hence, Kyle pretended $ 20 $ percentage of taking shower.
So, the correct answer is “ $ 20 $ percentage”.

Note: Remember the basic terminology to frame the first equation of percentage. Cross check with the given word statements twice and then only start further solutions. Also, incase of any unknown terms always assume any variable for the reference value and gradually find correlation to find the required value.