SOLUTION: Lun Ho staduim sells 2,200 tickets for a concert. It sells a quarter of them at a 20% discount and a further 10% at a 40% discount. How much must it change for tickets if it wants

Question 1165984: Lun Ho staduim sells 2,200 tickets for a concert. It sells a quarter of them at a 20% discount and a further 10% at a 40% discount. How much must it change for tickets if it wants to generate an income of $40,000?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Lun Ho stadium sells 2,200 tickets for a concert.
It sells a quarter of them at a 20% discount and a further 10% at a 40% discount.
How much must he charge for tickets if it wants to generate an income of $40,000?
:
let a = undiscounted price for the tickets
1 - .25 - .10 = .65 sold at original price
20% discount = .8n is the price of the ticket
40% discount = .6n is the price of the ticket
:
.25(2200)(.8a) + .10(2200)(.6a) + .65(2200)a = 40000
440a + 132a + 1430a = 40000
2002a = 40000
a = 40000/2002
a = $19.98 will generate $40,000 (probably just make it $20 a ticket)
:
:
check this; find the amt at each price using $20
550 * 16 = 8800, 20% disc
220 * 12 = 2640, 40% disc
1430* 20 = 28600 no disc
-------------------
total Rev: $40040
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