# Talk

## So, how many people were in the office?!

(74 Posts)
BringOnTheScience Thu 25-May-17 20:34:46

AQA..
1/4 of the women wear glasses.
3/8 of men wear glasses.
84 people in the office wear glasses altogether.
How many people were in the office?

DC1 and classmates couldn't solve it.
I can't see how without trial and error.

Any maths teachers?

CremeEggThief Thu 25-May-17 20:36:39

84 is equal to 5/8, so you need to find out what 8/8 is.

StealthPolarBear Thu 25-May-17 20:38:02

I don't think it's 5/8, maybe 5/16

StealthPolarBear Thu 25-May-17 20:38:36

84x16/5 maybe

StealthPolarBear Thu 25-May-17 20:38:59

Are we assuming the same number of men and women there

StealthPolarBear Thu 25-May-17 20:39:14

I need a pen and paper

UncontrolledImmigrant Thu 25-May-17 20:40:23

I don't think that is right.

1/4 of some number of women wear glasses - call this 1/4w
3/8 of some number of men wear glasses - call this 3/8m

All the people wearing glasses number 84, so that 1/4w + 3/8m = 84

I think you'd need to know what one of the terms was

StealthPolarBear Thu 25-May-17 20:40:59

You have to assume the same number of men and women I think

GreyVelvet Thu 25-May-17 20:41:03

Surely unless you know the proportion of women to men you can't work it out

CormorantDevouringTime Thu 25-May-17 20:43:11

If it's equal numbers then it's easy. If you don't know the split it's impossible.

DarkFloodRises Thu 25-May-17 20:45:15

It's an equation with two unknowns. You can't solve it without another piece of information.

TeenAndTween Thu 25-May-17 20:46:39

Not a teacher, but do have a maths degree.

I don't think that is solvable, so I think you have missed out a piece of information?

GinGeum Thu 25-May-17 20:47:32

I tried to work this out. Got a figure of 252, and then scrolled down to the comments and realised how far off the mark my understanding is bloody maths...

Agree that you need to know ratio of men to women to work it out.

MaroonPencil Thu 25-May-17 20:49:08

You can have equations with two unknowns. Apparently. m.wikihow.com/Solve-Systems-of-Algebraic-Equations-Containing-Two-Variables

MaroonPencil Thu 25-May-17 20:50:22

I have got as far as x+1.5y=336 but that could be complete bollocks since the last time I did maths was AS Level 22 years ago.

ClashCityRocker Thu 25-May-17 20:50:28

Can't you just add up the fractions?

Disclaimer: I'm shit at maths. But I think if you add up the fractions it comes to a quarter of people on t he office (although I'm not convinced I know how to add up fractions) so the answer would be 84 x 4?

ClashCityRocker Thu 25-May-17 20:51:05

Sorry, no the fractions don't add up to a quarter. Told you I was shit at maths!

SpuriouserAndSpuriouser Thu 25-May-17 20:51:26

I got 268.8 which I don't think is right...

ClashCityRocker Thu 25-May-17 20:51:29

Do they add up to a third?

RafaIsTheKingOfClay Thu 25-May-17 20:51:35

I don't think it can be 5/16 because that wouldn't give a whole number of people as the total.

Mind you neither does 5/8 but it couldn't be that anyway.

Chocchip88 Thu 25-May-17 20:53:31

I've found someone asking this elsewhere online. The first line of the question is that there are twice as many women as men.

ClashCityRocker Thu 25-May-17 20:54:41

I got 134.40.... Oh dear

CormorantDevouringTime Thu 25-May-17 20:59:36

Aha. In that case it's trivial (mathematical term meaning it's been a long day and I can't be arsed).

TeenAndTween Thu 25-May-17 21:01:29

So with chocs info we get

m=96, w=192, total = 288

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