SOLUTION: A school has 345 teachers and pupils altogether. There are 4 times as many boys as teachers. There are 12 more girls than there are boys. How many pupils are there altogether?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A school has 345 teachers and pupils altogether. There are 4 times as many boys as teachers. There are 12 more girls than there are boys. How many pupils are there altogether?      Log On


   



Question 1037112: A school has 345 teachers and pupils altogether. There are 4 times as many boys as teachers. There are 12 more girls than there are boys. How many pupils are there altogether?
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let t=teachers,b=boys,g=girls. Then
t+b+g=345
t=b/4
g=b+12;
So:
b/4+b+b+12=345
9b/4=333
9b=1332
b=148
b+12=160
b/4=37
There are 308 students and 37 teachers!!!!!!!!!!!!