SOLUTION: the ratio of female teacher to male teacher is 13:5. if there are 48 more female teachers than male teachers then find total number of teachers.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: the ratio of female teacher to male teacher is 13:5. if there are 48 more female teachers than male teachers then find total number of teachers.      Log On


   



Question 892324: the ratio of female teacher to male teacher is 13:5. if there are 48 more female teachers than male teachers then find total number of teachers.
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Set f = number of females
m = number of males
f = m + 48
13%2F5+=+f%2Fm
13%2F5+=+%28m+%2B+48%29%2Fm
do cross products
13m+=+5m+%2B+240
add -5m to each side
8m = 240
divide each side by 8
m = 30
Since f = m + 48, f = 30 + 48 = 78
The total number of teachers is m + f = 30 + 78 = 108