Question 429542
Let x = the number of adult tickets sold
Then 200 - x will be the number of children's tickets sold
So we can write
7x + 5(200 - x) = 1120
Solve for x:
7x + 1000 - 5x = 1120 -> 2x = 120 -> x = 60
So the number of adult tickets is 60, the number of children's tickets is 140.
Check:
7(60) + 5(140) = 420 + 700 = 1120