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#1**+2 **

Let x = number of adults and y be the number of students

So x + y = 8 subtract x from both sides ⇒ y = 8 - x (1)

And number of adults * cost per ticket + number of students * cost per ticket = total cost

So x * 7.25 + y * 5.50 = 52.75 (2)

Sub (1) into (2) and we have

x * (7.25) + ( 8 - x) * 5.50 = 52.75 simplify

7.25x + 44 - 5.50x = 52.75

1.75x + 44 = 52.75 subtract 44 from both sides

1.75 x = 8.75 divide both sides by 1.75

x = 5 adult tickets

And since there were 8 total, the other 3 must be the number of children's tickets

CPhill Nov 11, 2017