Agroup of 36 people attended a ball game. there were twice as many children as adults in the group. set up a system of equations that represents the numbres of adults and children who attended the game and solve the system to find the nymber of adults and the number of children

Let adults = X
Then children would be 2x  ( Twice as many as adults, means 2 times the amount of adults)

Now we have adults plus children equal 36:

X + 2X = 36

2X + X = 3x

Now we have 3X = 36

Divide both sides by 3 to solve for X

X = 36/3

X = 12

2X = 2*12 = 24

There were 12 adults and 24 children