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.
No problem! I'll explain how to solve both problems step by step.
First Problem:
To find out how many people attended the reunion last year, we need to use the information given in the problem. We are told that the attendance at the family reunion this year is 160 people, and that it is 125% of last year's attendance.
Here's how you can set up the problem:
Let "x" represent the number of people who attended the reunion last year.
We are given that this year's attendance of 160 is 125% of last year's attendance, so we can write it as an equation:
160 = 1.25x
To solve for "x", we need to isolate it on one side of the equation. First, divide both sides of the equation by 1.25:
160/1.25 = x
So, x = 128.
Therefore, 128 people attended the reunion last year.
Second Problem:
To find the percentage of students who are women, we need to divide the number of women by the total number of students and then multiply by 100 to get the percentage.
Here's how you can set up the problem:
Let "n" represent the percentage of women.
We are given that there are 1,295 students attending the university and 714 of them are women. So we can write the equation:
714/1295 = n/100
To solve for "n", we can cross-multiply:
714 * 100 = 1295 * n
Then divide both sides of the equation by 1295:
(714 * 100) / 1295 = n
So, n ≈ 55.05
Therefore, approximately 55.05% of the students are women.
I hope this helps! Let me know if you have any further questions.