What is the meaning of the coefficient '4' in the equation 4(8000−y) + 2y = 17,000, considering a previous problem with different values?

In the image you sent, the second equation used for the total revenue appears to be:

$$4x + 2y = 17000$$

Where $x$ is the number of VIP tickets and $y$ is the number of popular stand tickets.

This implies that in the problem setup shown in your image:

• The price of a VIP ticket was assumed to be \4$.
• The price of a popular stand ticket was assumed to be \2$.
• The total revenue was assumed to be \17,000$.

However, the original problem I solved had different values:

• Price of VIP ticket: \50$
• Price of popular stand ticket: \30$
• Total revenue: \250,000$

Therefore, the equation I used for total revenue was:

$$50V + 30P = 250000$$

Where $V$ is VIP tickets and $P$ is popular stand tickets.

The "4" in your image is the coefficient for the VIP tickets in that specific problem setup, which differs from the original problem's values.