Answer: 29 adults and 9 children attended the premiere.
Step-by-step explanation:
You didn't say what you're expected to calculate but based on the question, I'll help you calculate the number of children and adults that attended the premiere.
Let adults be represented by a
Let the children be represented by c.
38 people attended the premiere. This can be written as:
a + c = 38 ............ equation i
Tickets cost $3.50 for adults and $1 for children and the theatre sold $110.50 worth of tickets. This can be written as:
3.50a + c = 110.50 ........ equation ii
Combining both equations together
a + c = 38 ......... i
3.50a + c = 110.50 ......... ii
Subtract equation ii from equation I
-2.5a = 72.5
2.5a = 72.5
a = 72.5/2.5
a = 29
Recall that a + c = 38
c = 38 - 29
c = 9
29 adults and 9 children attended the premiere.
