Question

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?
Part A
Before solving this problem, decide which tool you’ll use to solve it. Which method for solving systems of linear equations is best for solving this problem? Explain your answer.
Part B
Solve the system of equations to find the number of kids and adults that visited the carnival.

Answer 1

Answer:

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

k + a = 500        (1)

3k + 10a = 3,600   (2)

Then 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

And last Substitute the value of a into equation (1).

   k + a = 500

k + 300 = 500

         k = 500 – 300

          k = 200

Answer 2

I believe k is 200 correct me if I'm wrong!!!!