Answer: 102
Explanation:
Let the number of adults tickets be represented by x
Let the number of children tickets be represented by y.
We can then form an equation which will be:
x + y = 259 ....... i
6x + 5y = 1397 ...... ii
From equation i, y = 259 - x ...... iii
Put equation iii into ii
6x + 5y = 1397
6x + 5(259 - x) = 1397
6x + 1295 - 5x = 1397
Collect like terms
6x - 5x = 1397 - 1295
x = 102
The number of adult tickets that the theater sold last night is 102.