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Which method for solving systems of linear equations is best for solving this problem? Explain your answer.
Who ever get this right will be the brainliest!

A carnival charges $3 for kids and $10 for adults. On Saturday, there were 500 visitors, and the total amount taken at the gate was $3,600. The equation representing the number of visitors is k + a = 500, where k represents the number kids and a represents the number of adults. The equation representing the amount of money collected is 3k + 10a = 3,600. How many kids and adults visited the carnival?

Respuesta :

Answer:

The number of adults, a, is 300, and the number of kids, k, is 200.

Step-by-step explanation:

k + a = 500        (1)

3k + 10a = 3,600   (2)

Multiply both sides of equation (1) by -3.

(k + a) • -3 = 500 • -3

  -3k − 3a = -1,500

Now, add this equation to equation (2).

  3k + 10a = 3,600

+  -3k − 3a = -1,500

             7a = 2,100

               a = 300

Substitute the value of a into equation (1).

    k + a = 500

k + 300 = 500

          k = 500 – 300

          k = 200

In the system of equations, a represents the number of adults and k represents the number of kids who visited the carnival. The number of adults, a, is 300, and the number of kids, k, is 200.

Answer:

The elimination method.

Step-by-step explanation:

I just did this question on Edmentum, and it said the best method was elimination.

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