A teacher is figuring out seating charts. If she assigns 2 people/table, she needs 4 extra tables. If she assigns 4 people/table, she has 4 empty tables. how many students are there in the class?
This was all the information I was given on the practice test and it was on the no-calculator version. Unfortunately, this was a secured exam so my instructor couldn't show me the answer key or help me in any way on it, only tell me if I got it right or wrong.
How would you guys do this?
Let $T$ be the number of tables and $P$ be the number of students. The statement
Translates to the relationship $$ \frac{P}{2} = T + 4$$
The statement
Translates to $$ \frac{P}{4} = T -4$$
This gives of a system of two equation and two variables. Can you solve the problem from here?