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## Sagot :

5f=9r

F is food tents, r is retail tents.

Plug in f=9/5r to the top to get 14/5r=98. Then 2/5r=14. So r=35 and f=9/5*35=63.

**Answer:**

Let **x **represents the food tents and **y **represents the retail rents.

**As per the given statement:** The farmer's market has a total of 98 tents.

⇒[tex]x + y = 98[/tex] ......[1]

Also, it is given that the ratio of food tents to retails tents is 9 : 5.

⇒ [tex]\frac{x}{y} = \frac{9}{5}[/tex]

By cross multiply, we have;

5x = 9y

**Divide both sides by 5 we get;**

[tex]x = \frac{9}{5}y[/tex]

Substitute this value x in equation [1] to solve for y;

[tex]\frac{9}{5}y + y = 98[/tex]

**Combine like terms;**

[tex]\frac{14}{5}y = 98[/tex]

Multiply both sides by [tex]\frac{5}{14}[/tex] we get;

[tex]y =98 \times \frac{5}{14} = 7 \times 5 = 35[/tex]

Substitute the value of y= 35 in [tex]x = \frac{9}{5}y[/tex] to solve for x;

[tex]x = \frac{9}{5} \times 35 = 9 \times 7 = 63[/tex]

**(a)**

System of linear equation that represents situation is:

[tex]x + y = 98[/tex]

[tex]x = \frac{9}{5}y[/tex]

**(b)**

As x represents the food tents.

**Therefore, 63 food tents are at the market.**

**(c)**

**y= 35 retail tents** are at the market.