The science club purchased tickets for a magic show. They paid $108 for 6 tickets in section A and 10 tickets in section B.

The following week, they paid $104 for 4 tickets in section A and 12 tickets in section B.

What is the price for tickets in section A?

Let x is the price for one ticket in section A and y for section B.

In first week they paid $108 for 6 tickets in section A and 10 tickets in section B.

So,

6x + 10y = 108

And in t he following week, they paid $104 for 4 tickets in section A and 12 tickets in section B.

So,

4x + 12y = 104

12y = 104 - 4x

y = (104 - 4x) / 12

now, put this value for y in first equation

6x + 10 (104 - 4x / 12) = 108

multiplying all terms with 12

72x + 10 (104 - 4x) = 1296

72x + 1040 - 40x = 1296

32x = 256

x = 8

So, price for one ticket in section A is $8.