SOLUTION: If 3 students sit on each bench then one student will be left. IF 4 students sit on each bench one bench will be left . Find number of students and number of benches in the clas

Question 890422: If 3 students sit on each bench then one student will be left. IF 4 students sit on each bench one bench will be left . Find number of students and number of benches in the class.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of benches
Let = the number of students
---------------------------------
(1)
(2)
-----------------------
(1)
(2)
-------------------
(1)
(2)
Add the equations
-------------------

and
(1)
(1)
-----------------
There are 16 students and 5 benches
-----------------
check:
( 3 students )x( 5 benches ) = ( 15 students ) + ( 1 extra student )
and
( 16 students ) / ( 4 students per bench ) = ( 5 benches ) - ( 1 extra bench )
Hope this helps

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