SOLUTION: at a school 2/3 of the students are taking chemistry, 1/3 of the remaining students are taking physics, and the rest are taking biology. no student is taking more than one science

Question 669994: at a school 2/3 of the students are taking chemistry, 1/3 of the remaining students are taking physics, and the rest are taking biology. no student is taking more than one science class. if 66 students are taking biology, how many students are in the class?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of students in the class
given:
2/3 take chemistry, so there are 1/3 remaining
1/3 of those take physics, and that is
of the students
---------------------------------
So far I have
That means there is
students remaining.
-----------------
I am told that

There are 297 students in the class
------------------------------
check:
2/3 take chemistry

There are remaining
1/3 of those take physics
take physics
There are remaining
and they take biology.
OK

RELATED QUESTIONS
at a school,2/5 of the students are taking chemistry, 1/3 of the remaining students are... (answered by Edwin McCravy)

A survey of 100 seniors at Mathbe Goode High School reported 82 students taking a... (answered by richwmiller)

In a certain college, 40% of the senior class students is taking Physics, 30% is taking... (answered by josmiceli)

From a group of 100 students, 30 are taking math, 20 are taking chemistry, and of those... (answered by CharlesG2,yuckypants)

From a group of 100 students, 30 are taking math, 20 are taking chemistry, and of those... (answered by CharlesG2)

Suppose a student is selected at random from 80 students where 30 are taking mathematics, (answered by math_helper)

there are 25 students in chemistry class and 23 students taking physics seven students... (answered by solver91311)

In a small high school of 20 students, 6 students are taking algebra, 8 are taking... (answered by scott8148)