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?
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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
