A group of 52 people attendance ball game. There are three times as many children as adults in the group. Write a system of equations that you can use to solve this problem where a is the number amd C is the number of children in the group. How many children are in the group

c = 3 a

c + a = 52

substitute 3 a for c and solve for a, then c using c = 3 a

5=7

To write a system of equations that can help solve the problem, we need to represent the given information as algebraic equations. Let's use "a" to denote the number of adults and "c" to represent the number of children in the group.

1. We are told that there are three times as many children as adults in the group: c = 3a.

2. The total number of people in the group is given as 52: c + a = 52.

Now we have a system of two equations:
c = 3a
c + a = 52

To find the number of children in the group, we will solve this system of equations.