Answer:
The answer is [tex]f=\frac{9r}{5}.[/tex]
Step-by-step explanation:
Given:
The farmer’s market has a total of 98 tents.
The ratio of food tents to retail tents is 9:5.
Now, to write the system of linear equations that represents this situation.
The total tents = 98 tents.
Let the food tents be [tex]f.[/tex]
And the retail tents be [tex]r.[/tex]
So, the total tents:
[tex]f+r=98.[/tex]
As, given the ratio 9:5.
Now, to write the system of linear equations:
[tex]f:r=9:5[/tex]
[tex]\frac{f}{r} =\frac{9}{5}[/tex]
Multiplying both sides by [tex]r[/tex] we get:
[tex]f=\frac{9r}{5}[/tex]
Therefore, the answer is [tex]f=\frac{9r}{5}.[/tex]
