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.
