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

The answer is
`f=(9r)/(5).`

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`

`(f)/(r) =(9)/(5)`

Multiplying both sides by
`r` we get:

`f=(9r)/(5)`

Therefore, the answer is
`f=(9r)/(5).`