Question

The farmer’s market has a total of 98 tents. The ratio of food tents to retail tents is 9:5. Write a system of linear equations that represents this situation

Answer 1

Answer:

The answer is  $f=\frac{9r}{5}.$

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 $f.$

And the retail tents be $r.$

So, the total tents:

$f+r=98.$

As, given the ratio 9:5.

Now, to write the system of linear equations:

$f:r=9:5$

$\frac{f}{r} =\frac{9}{5}$

Multiplying both sides by $r$ we get:

$f=\frac{9r}{5}$

Therefore, the answer is  $f=\frac{9r}{5}.$