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3 years ago

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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

1 answer:

Vedmedyk [2.9K]3 years ago

7 0

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.

<u><em>Let the food tents be </em></u> $f.$ <u><em /></u>

<u><em>And the retail tents b</em></u>e $r.$

So, the total tents:

$f+r=98.$

<em>As, given the ratio 9:5.</em>

Now, to write the system of linear equations:

$f:r=9:5$

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

<em>Multiplying both sides by </em> $r$ <em> we get:</em>

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

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

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