It cost $35 for one adult and two children to attend a show. It costs $60 for two adults and three children to attend the same show. How much does it cost one adult to attend the show?

Let a be the ticket:

So, plugging in our details:

a + (2 x 0.5a) = 35

2a = 35

a = 17.5 this is the price per each adult.

And through checking:

x + 3x = 35

4x = 35

x = 8.75

So for the first given:

1 adult + 2 children

17.5 + 17.5 = 35

So for the second given:

17.5 x 2 = 35

8.75 x 3 = 26

= 61, there is an excess of 1 dollar. Maybe there is a discount if there are 3 children. By trial and error. It can be 8.30 x 3 = 24.9 or 25 + 35 = 60