Answer:
615 children tickets
195 adults tickets
Step-by-step explanation:
Let the number of children’s tickets be c and the number of adult tickets be a.
Children’s ticket is $3 and adult’s is $5 for a total of $2,820. This means:
3c + 5a = 2,280
This is the first equation.
The number of children’s tickets sold is 30 more than 3 times that of the adults. This means
c = 3a + 30.
This is equation ii. We now substitute ii into I to yield:
3(3a+ 30) + 5a = 2,820
9a + 90 + 5a = 2,820
14a + 90 = 2,820
14a = 2820 - 90
14a = 2730
a = 2730/14 = 195 tickets
c = 3a + 30
c = 3(195) + 30 = 615
