SOLUTION: There are 170 people in a hall. There are 6 times as many girls as boys. There are 6 more teachers than boys. How many teachers are there?

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Question 1159454: There are 170 people in a hall. There are 6 times as many girls as boys. There are 6 more teachers than boys. How many teachers are there?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=boys
x+6=teachers
6x=girls
they all add to 170
8x+6=170
8x=164
no integer answer
closest is 20 boys 120 girls and 26 teachers for 166
or 21 boys, 126 girls or 27 teachers for 174
exact is 20.5 boys 26.5 teachers and 123 girls
if there were six fewer teachers than boys,
it would be 8x-6=170
8x=176
x=22 boys
x-6=16 teachers
6x=132 girls