SOLUTION: if 8 students are seated on each bench, 3 benches are left over. if 5 students are seated on each bench, 12 students are left over. How many benches, students are left over?

Question 756514: if 8 students are seated on each bench, 3 benches are left over. if 5 students are seated on each bench, 12 students are left over. How many benches, students are left over?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of students
Let = number of benches
----------------------------
The thing they don't mention, but is very
important is that the 8 students times the
number of benches they are seated on is
all of the students.
given:
(1)
(2)
------------------
(1)
(1)
and
(2)
(2)
Subtract (2) from (1)
(1)
(2)

and, since
(1)
(1)
(1)
(1)
(1)
-------------
There are 72 students and 12 benches
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
If 8 students are seated on each bench ,3 benches are left over .If 5 students are seated (answered by KMST)

There are benches in a class room if 4 students sit on each bench , three benches are... (answered by Theo)

There are benches in a classroom. If 4 students sit on each bench, three benches are left (answered by solver91311,advanced_Learner)

f 5 pupils are seated on each bench in a classroom, 4 will be left without a place. If 6... (answered by ewatrrr)

If 3 students sit on each bench then one student will be left. IF 4 students sit on... (answered by josmiceli)

800 persons are seated on benches of equal length. if there were 20 fewer benches it... (answered by stanbon)

if 7 students of a middle school are seated in a gymnasium on each bench in a row, 15... (answered by Theo)

In an auditorium there are 4x rows, and each row can accommodate 5yz benches. If x... (answered by ankor@dixie-net.com)

in how many ways can 10 people seated on a bench if only 5 are seats are available (answered by ikleyn)