During a 60-minute television program 25% of the time is used for commercials and 5% of the time is used for the opening and closing credits. How many minutes remain for the program itself?

1 Answer
Dec 16, 2016

42 minutes

Explanation:

The total amount of anything expressed in percentage is 100%.
The reason for this is that per cent means per hundred.
So, 100% is #100xx1/100 = cancel(100)xx1/cancel(100) = 1#, which is a whole.
Moving to the question, a total of 25% + 5% = 30% of the time is used up by commercials and credits.
The time left for the program is 100% - 30% = 70%.
This is 70% of 60 minutes or

#70/100xx60 = (7cancel(0))/(1cancel(00))xx6cancel(0) = 7xx6 = 42#