Tickets for a concert sold for $11 and $8. If 600 tickets were sold for one evening and the receipts were $5500, how many of each were sold?
Let the number of $11 tickets be x, then the number of $8 tickets would be 600-x
Now we consider the cost of these tickets and we get this equation:
11x + 8(600-x) = 5500
I trust you can finish it from here.
(Actually, I got x to be 233.333.. but x is the number of tickets, which should be a whole number.
So either you made a typing error or the question is bogus)
I GOT 250 FOR X
To solve the equation:
11x + 8(600 - x) = 5500
You can start by distributing 8 to both terms inside the parentheses:
11x + 4800 - 8x = 5500
Then combine like terms:
3x + 4800 = 5500
Next, subtract 4800 from both sides of the equation:
3x = 700
Finally, divide both sides by 3 to solve for x:
x = 700 / 3
x ≈ 233.333...
However, as you rightly mentioned, the number of tickets should be a whole number. In this case, we need to determine if rounding up or rounding down is appropriate based on the context of the problem. Since you cannot sell a fraction of a ticket, rounding down would make the most sense. Thus, the number of $11 tickets sold would be 233, and the number of $8 tickets sold would be 600 - 233 = 367.