34 is 51 Percent of JDate: 11/12/2001 at 18:21:27 From: Michenzie Motl Subject: Percent problems The problem is: 34 is 51% of J. I haven't really tried to figure it out because I don't know where to begin, so that's where I need your help. Date: 11/14/2001 at 15:39:28 From: Doctor Mike Subject: Re: Percent problems Hello Michenzie, I will be glad to tell you how to begin. Back when I was in grade school, my teacher, Mrs. Gill, gave me a very useful hint about problems that use the word "of" in them. I mean problems that say "half of" or "9/10 of" or "51% of" somewhere in them. The hint was that such phrases really are talking about multiplication. For example, a problem that says "half of" would mean the same if you replaced that by "1/2 times." If someone asks you what is half of 24, that is the same as asking what is 1/2 times 24. The same thing is true about replacing "9/10 of" by "9/10 times." But what about 51% of something? The two examples I just gave used fractions like 1/2 and 9/10, but this is a percent. Well, talking about percents is a way of talking about PARTS of things, which is what you are doing with fractions. You have heard of splitting something "fifty-fifty" or "50-50," right? That means splitting it right down the middle, and giving half to each person. It means this because 50 percent is the same as the fraction 50/100, which is the same as the fraction 1/2. What you are dealing with in your problem is 51 percent, which is the same as the fraction 51/100. Now, after ALL this background, your problem 34 is 51% of J can be re-written as 34 = (51/100)*J So, I have done what I promised, to tell you how to begin. Now, there is still some work to do; You have to actually solve for J. I wish you good results. Write back to Dr. Math if you have too much difficulty. - Doctor Mike, The Math Forum http://mathforum.org/dr.math/ |
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