Question

the ratio of males to females in a room is 5 to 4. if 5 males and 6 femaes leave the room, the ratio of males to females changes to 4 to 3. how many people are in the room initially?

Answer 1

that's better.

Answer 2

??

Answer 3

oh cmon it is not that bad i bet. smart minds that we have here

Answer 4

m/f=5/4

(m-5)/(f-6)=4/3

Answer 5

\[\frac{m}{f}=\frac{5}{4}\]
\[4f=5f\]
\[\frac{m-5}{f-6}=\frac{4}{3}\]
\[3(m-5)=4(f-6)\]

Answer 6

oops i meant
\[4m=5f\] "typo"

Answer 7

\[m=\frac{5}{4}f\]

Answer 8

the answer is supposed to be 81 i dont know how that's supposed to work

Answer 9

we're getting there... slowly

Answer 10

ohhh ok

Answer 11

\[4m=5f\]
\[m=\frac{5f}{4}\]
and we have
\[\frac{m-5}{f-6}=\frac{4}{3}\]
\[3(m-5)=4(f-6)\]
\[3m-15=4f-24\]
but m=5f/4
\[3*\frac{5f}{4}-15=4f-24\]
\[\frac{15f}{4}-15=4f-24\]
multiply both sides by 4
\[15f-60=16f-96\]
\[-60+96=16f-15f\]
\[36=1f=f\]

Answer 12

so
\[m=\frac{5*f}{4}=\frac{5*36}{4}=5*9=45\]

Answer 13

f+m=36+45=81

Answer 14

81 peeps are in the room
36 are women
45 are men

Answer 15

any questions?

Answer 16

\[3(\frac{5}{4}f-5)=4(f-6)\]
\[\frac{15}{4}f-15=4f-24\]
\[9=\frac{1}{4}f\]
\[f=36\]

Answer 17

yes did you get 36 woment?

Answer 18

satellite you are too slow lol

Answer 19

old and slow it is true but i wanted to solve with pencil before i wrote something stupid

Answer 20

by the way if you didn't realize
i called f females
and m males
but i think that was obvious

Answer 21

oh really because i had it reversed

Answer 22

lol

Answer 23

maybe the men in your room had too much estrogen in there system

Answer 24

they were fmen and mwomen that is all. makes for trouble in the restrooms at the bar

Answer 25

lol

Answer 26

he was kidding we called f females/women
and m males/men