Topic: The clothing puzzle

[ChrissyRyan]

304 women are having a great time sharing out at a national transgender conference plenary session, wish you were here.

Twice as many women are wearing blue blouses as compared to the number of women wearing red blouses, and one third as many females are wearing magenta blouses as compared to the number of women who are wearing blue blouses.

How many women are wearing blue blouses?
How many women are wearing red blouses?
How many women are wearing magenta blouses?

Round to the nearest whole number as necessary that makes sense.  Show all your work.  No cheating or using systems or searches that inform you of the answers (which can often be incorrect answers!)   :-)

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Whoever is first to post all three correct answers gets this air blouse, which you can wear while playing your air guitar.  Just kidding of course about the prize.  Now, was whoever said that middle school math is useless wrong?

  :-)   Perhaps this scenario is useless.   Go you fellow geek girls, have at this.

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@Jessica_Rose
@Northern Star Girl
@SarahEL
@Steph2.0

[SarahEL]

166 blue
83 red
55 magenta

ish

[Kaleig_hC]

Anybody interested in the math to get there here is the algebra.

2X +X+ 2/3X=304

11/3X= 304

X=82.90

Red is 2 times 82.9 = 165.8

Blue is 82.9

Magenta is 82.9 times 2/3 is 55.27

I took two Calculus courses in college. I made Cs in both classes. Some of what I learned in college they are doing in middle school these days.

[ChrissyRyan]

These are two correct responses for the numbers of women wearing each of the three colors of blouses.
If the number of women attending was about 304.28 the blouse color numbers would be exact whole number answers.  The exercise does stress the logic of rounding answers appropriately to make sense, as fractional numbers of people are silly answers.

Good going!

[Rakel]

This question cannot be solved.

From the information given, the ratio of blue, red and magenta blouses are 6,3 and 2 respectively. The total people involved here must be a multiple of 11, unless someone is wearing a multicolored blouse.

Also, it assumes that the 304 people are only wearing red, blue or magenta blouses.  What if some of the participants are wearing white, yellow or some other color blouse ?

[SarahEL]

Anybody interested in the math to get there here is the algebra.

2X +X+ 2/3X=304

11/3X= 304

X=82.90

Red is 2 times 82.9 = 165.8

Blue is 82.9

Magenta is 82.9 times 2/3 is 55.27

I took two Calculus courses in college. I made Cs in both classes. Some of what I learned in college they are doing in middle school these days.

Good math, well done for writing that out.
,, thats exactly how I did it in my head.. it was all 11ths...