A circus earned $150,000 in ticket revenue by selling 1,800 VIP and St

Dear jlgdr,
I'm also happy to help with this problem.

First, let's tackle ticket numbers, and ignore the prices.
V = # of VIP tickets
S = # of standard tickets.

"They sold 25% more standard tickets than VIP tickets." This means:
S = 1.25T
Here, I am using a multiplier to represent the percent increase. See:
https://magoosh.com/gmat/2012/understand ... -the-gmat/

S = 1.25T = (5/4)*T

T = (4/5)*S

S + T = 1800

S + (4/5)*S = 1800

(9/5)*S = 1800

(1/5)*S = 200

S = 1000

V = 800

So, a thousand standard tickets were sold. Put that piece of info on hold for a moment. Now, the financial info.

"A circus earned $150,000 in ticket revenue .... the revenue from Standard tickets represents a third of the total ticket revenue."
One third of $150,000 is $50,000. That's the revenue from standard tickets only. Therefore, revenue from VIP tickets is $100,000.

We sold 800 VIP tickets for $100,000, so each one must have cost 100,000/800 = 1000/8 = 125.

VIP tickets cost $125.
FWIW, standard tickets cost $50.

Does all this make sense?
Mike