SOLUTION: Alexis and Martin helped the school set chairs in rows for an assembly. They put the same number of chairs in each row. Using 92 chairs available, Alexis made 4 rows with 2 chairs

Algebra ->  Equations -> SOLUTION: Alexis and Martin helped the school set chairs in rows for an assembly. They put the same number of chairs in each row. Using 92 chairs available, Alexis made 4 rows with 2 chairs       Log On


   

Question 744553: Alexis and Martin helped the school set chairs in rows for an assembly. They put the same number of chairs in each row. Using 92 chairs available, Alexis made 4 rows with 2 chairs left over while Martin made 5 rows with no chairs left over. Write and solve an equation that can be used to find the number of chairs in each row.
Found 3 solutions by lynnlo, ikleyn, timofer:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by ikleyn(53547) About Me  (Show Source):
You can put this solution on YOUR website!
.
Alexis and Martin helped the school set chairs in rows for an assembly.
They put the same number of chairs in each row.
Using 92 chairs available, Alexis made 4 rows with 2 chairs left over
while Martin made 5 rows with no chairs left over.
Write and solve an equation that can be used to find the number of chairs in each row.
~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let 'n' be the number of chairs in each row.


Write an equation as you read the problem

    set by   set by    total
    Alexis   Martin

    (4n+2)  +  5n     = 92.


Solve and find n

    9n = 92 - 2

    9n = 90

     n = 90/9 = 10.


ANSWER.  10 chairs in each of 9 rows plus 2 chairs left over.

Solved.



Answer by timofer(138) About Me  (Show Source):
You can put this solution on YOUR website!
c, the number of chairs in each row
Alexis: 4c+2 chairs
Martin: 5c chairs

The sum of each person's chairs is 92 so
%284c%2B2%29%2B5c=92
9c%2B2=92
9c=90
highlight%28c=10%29-------10 chairs in each row