There are 100 people in a room, including only teachers and students. They are trying to share 100 bags of sweets. As a result, each teacher has 3 bags of sweets where every 3 students share one bag of sweets. How many teachers and students are there?
Let t = the number of teachers
Let s = the number of students
There are 100 people in the room, so one equation is
t + s = 100
each teacher gets a whopping 3 bags and each student gets only rd of a bag.
So the number of bags given to teachers is 3 times the number of teachers,
or 3t bags
and
the number of bags given to students is times the number of
students, or s.
There are 100 bags, so the other equation is
3t + s = 100
So the system of equations is:
Can you solve that for t and s? If not post again
asking how to do it.
Solution: 25 teachers hogging 75 bags and 75 poor students
having to share the remaining 25 bags. 'Taint fair!
[Maybe the students are obese and the teachers are thin! lol]
Edwin