Percents Using Proportions
posted by Samantha on .
I do not understand the wording and/or got stuck while I was working on the following two problems:
The attendance at a family reunion was 160 people. This was 125% of last year's attendance. How many people attended the reunion last year?
There are 1,295 students attending a small university. There are 714 women enrolled. What percentage of students are women?
I would like to know how to set up the problems, etc. I can set up the last problem but would like some extra assistance with the first one please. The last one I can assemble the numbers in the correct order but I question my answers. Thanks.
(For the second one)
714/1295 = n/100
Other than that I don't know what I'm doing right or wrong. Thank you.

2.
714/1295 = n/100
1295n = 71400
n = 71,400 / 1295
n = 55.135%
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1.
160/125 = x/100 
Here is my (probably incorrect) work so far:
1) n/160 = 125/100 40
160x125=4000 ________
100  4000
Was I suppose to divide it or not? I'm not sure.
2) 714/1295 = n/100
_________
714/1295=102/185 185  10,200
102x100=10,200 
Thank you! I will reverse my work now. This was extremely helpful for grasping a new concept.

You're welcome.