goverton101
05.09.2019 •
Mathematics
Aconcert organizer anticipates selling 4,000 tickets and that a quarter of these will be sold at 20% reduction of original price. he needs to make $60,000 in ticket receipts. how much must a full price ticket be?
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Ответ:
$ 15.79
Step-by-step explanation:
Let x be the price of full ticket,
∵ Total number of tickets = 4000,
Quarter of 4000 tickets = = 1000,
Remaining tickets = 4000 - 1000 = 3000,
Since, if the price of each ticket is reduced by 20%,
Then the new price of each ticket = (100 - 20)% of x
= 80% of x
= 0.80x,
According to the question,
The total price of quarters of ticket + total price of remaining tickets = $ 60000
= 0.80x × 1000 + x × 3000 = 60,000
800x + 3000x = 60,000
3800x = 60,000
⇒ x ≈ 15.79
Hence, the price of full ticket is approximately $ 15.79.
Ответ:
Ok
Step-by-step explanation: