Given:
The charge for a small office = $55.
The charge for a large office = $ 85.
The total number of offices = 14.
The total amount = $ 920.
Required:
We need to find a number of small offices and large offices.
Step-by-step explanation:
Let x be the number of the small office and y be the number of the large office.
The equation of the total number of offices.


The equation of the total amount.

Substitute x =14-y in the equation.



Subtract 770 from both sides of the equation.


Divide both sides by 30.





Final answer:
The equations are


The number of small offices are 9.
The number of large offices are 5.