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Video: Finding the Percent of a Quantity with Simple Fractions and Integers

Tim Burnham

A student club has 80 members. One of its rules states that 65% of its members must be present to conduct a voting session. Determine the least number of members needed to conduct a voting session.

01:49

Video Transcript

A student club has eighty members. One of its rules is that sixty-five percent of members must be present to conduct a voting session. Determine how many members must be present to conduct a voting session.

So there are eighty members and sixty-five percent of them need to be present in order to conduct a voting session. So this question is asking what is sixty-five percent of eighty? Now in order to calculate the percentage of a number, we do that percentage over a hundred times the number. So that’s sixty-five over a hundred, sixty-five percent, times you can read that for of eighty, the number that we’re trying to find the percentage of.

Now this is a fraction calculation. So just to make it nice and simple, I’m gonna put eighty as eighty over one; eighty over one is the same as eighty. But when it’s in fraction form, it enables us to look at this fraction calculation more easily. Now I can divide the top and the bottom by ten. Tens go into a hundred, ten times. And tens go into eighty, eight times. Now looking at the sixty-five and the tenth, they’re both divisible by five.

Five is going to ten two times and five is going to sixty-five thirteen times. Now I can start doing more canceling: twos and eights. So two is going to two once; two is going into eight four times. So this calculation becomes thirteen times four. Well to multiply something by four, I can just multiply it by two and then multiply it by two again. So thirteen times two is twenty-six and twenty-six times two is equal to fifty-two. So the answer is that at least fifty-two members have to be present in order to conduct a voting session.