The students in a class spent 65% of the class period performing an experiment. How long is a class period if the time spent on this experiment was 52 minutes?

Question

The question has to do with percents please help me with this and tell me step by step how to solve it

Answer 1

For this problem, we will set two fractions equal to each other. One fraction will represent the percentages and the other will represent class time.

 

Because the students spent 65% of the class period performing an experiment,  the percent fraction will be:

 

percentage         65%

-------------- =   --------

total percent       100%

 

Now, it is said that the total time spent on the experiment was 52 minutes, so this means that 52 minutes is 65% of the total class time.

The class time fraction will be:

 

percentage equivalent          52 minutes

--------------------------    =    ----------------  (we will set x to be the total class time)

total class time                         x

 

Since 52 minutes is 65 percent of the total class time, we set both fractions equal to each other:

 

 

65       52 minutes

------ = -------------

100          x

 

 

Cross multiply:

 

65x = 100 * 52 minutes

 

65x = 5200 minutes

 

Divide both sides by 65:

 

x = 80 minutes

 

Therefore, the class period is 80 minutes.