At a carnival, the price of an adult ticket is $6 while a child ticket is $4. On a certain day, 30 m

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At a carnival, the price of an adult ticket is $6 while a child ticket is $4. On a certain day, 30 more child tickets than adult tickets were sold. If a total of $6360 was collected from the total ticket sale that day, how many child tickets were sold?

Let the number of adult tickets be a. Let the number of child tickets be c. We're given two equations:

1. c = a + 30
2. 6a + 4c = 6360

Substitute equation (1) into equation (2):
6a + 4(a + 30) = 6360

Multiply through to remove parentheses:
6a + 4a + 120 = 6360

Type this equation into our search engine to solve for a and we get:
a = 624

Now substitute a = 624 back into equation (1) to solve for c:
c = 124 + 30
c = 154