Question

the ratio of females to males on a particular flight was 2 : 3. Females represented five more than 1/3 of all people aboard. how many people were on that flight

Answer 1

i think i just gave you the two equations
and you deleted it

Answer 2

im so sorry i guess i didnt see it

Answer 3

A15 b.25 c.30 d40 e75

Answer 4

\[\frac{f}{m}=\frac{2}{3}\]
\[f=5+\frac{1}{3}(f+m)\]
do you see how i got these two equations?

Answer 5

yeah i see

Answer 6

ok solve the first equation for f by multiplying both sides by m
then substitute that f into the second equation and solve for m

Answer 7

how?

Answer 8

have you solve the first equation for f yet?

Answer 9

im not sure how to get f

Answer 10

\[\frac{f}{m}=\frac{2}{3}\]
multiply both sides by m
\[f=\frac{2}{3}m\]

Answer 11

now plug this into the second equation
and solve for m

Answer 12

5+1/3(2/3m) like that?

Answer 13

\[\frac{2}{3}m=5+\frac{1}{3}(\frac{2}{3}m+m)\]

Answer 14

thank you

Answer 15

\[\frac{2}{3}m=5+\frac{1}{3}(\frac{2}{3}m+\frac{3}{3}m)\]
\[\frac{2}{3}m=5+\frac{1}{3}(\frac{5}{3}m)\]
\[\frac{2}{3}m=5+\frac{5}{9}m\]
\[\frac{2}{3}m-\frac{5}{9}m=5\]
\[\frac{6}{9}m-\frac{5}{9}m=5\]
\[\frac{1}{9}m=5\]
so m=45
right?
but we want to know f+m
so we need to know f too right?

Answer 16

remember \[f=\frac{2}{3}m=\frac{2}{3}(45)=2(15)=30\]

Answer 17

so f+m= what?