A concert sold 300 tickets, some at 15 for general admission and the rest at 20 for VIP. Total ticket sales were $5,000. How many general…

Let $a$ be the number of general admission tickets and $v$ the number of VIP tickets. Then $a + v = 300$ and $15a + 20v = 5000$. Substitute $v = 300 - a$: $15a + 20(300 - a) = 5000$, so $15a + 6000 - 20a = 5000$, giving $-5a = -1000$ and $a = 200$, choice D. Check: 200 general tickets bring in $3,000 and 100 VIP tickets bring in $2,000, a total of $5,000. Choice A (100) is the number of VIP tickets. Choice B (150) would give an even split and $5,250. Choice C (250) would give $4,250.