SOLUTION: At last week�s hockey game involving Waterloo Blueberries, the price of a platinum ticket was $25, the price of a gold ticket was $10, the price of a silver ticket was $5, and th

Question 321137: At last week�s hockey game involving Waterloo Blueberries, the price of a
platinum ticket was $25, the price of a gold ticket was $10, the price of a silver ticket was $5, and the price of a bronze ticket was $1.
(a) Jim buys 5 platinum tickets, 2 gold tickets and 3 silver tickets. Determine the average cost of the tickets that Jim buys.
(b) Mike buys 8 tickets whose average cost is $12. He then buys five more platinum tickets. What is the new average cost of the tickets that he has bought?
(c) Ophelia buys 10 tickets with an average cost of $14. Suppose that she buys n more platinum tickets. The new average cost of the tickets that she has bought is $20. What is the value of n?

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
At last week�s hockey game involving Waterloo Blueberries, the price of a
platinum ticket was $25, the price of a gold ticket was $10, the price of a silver ticket was $5, and the price of a bronze ticket was $1.
..
(a) Jim buys 5 platinum tickets,5*25= 125
2 gold tickets 2*10 =20
and 3 silver tickets. 3*5=15
150+20+15= 160
Number of tickets = 10
Average price = 160/10 = 16 $
..
(b) Mike buys 8 tickets whose average cost is $12. He then buys five more platinum tickets. What is the new average cost of the tickets that he has bought?
8 tickets average cost = $12
Total cost =$96
5 platinum = 5*25=125
Total = 125+96=$ 221
Total tickets = 13
Average cost = 221/13= $17
..
(c) Ophelia buys 10 tickets with an average cost of $14. Suppose that she buys n more platinum tickets. The new average cost of the tickets that she has bought is $20. What is the value of n?
10 tickets average = $14
Total cost = $140
n more platinum tickets
cost per ticket = $25
cost of n platinum tickets = $25n
Total number of tickets = 10+n
Average cost of tickets =140+25n / n+10 = 20
140+25n = 20(n+10)
140+25n = 20n +200
25n-20n=200-140
5n = 60
n= 12

RELATED QUESTIONS
Over a three week period, the price of an gram of gold increased by 25% in the first... (answered by Theo,skippo)

This system of equations relates the ticket price, in dollars, for seats in the silver... (answered by josgarithmetic)

This system of equations relates the ticket price, in dollars, for seats in the silver... (answered by Theo)

A museum sold a total of 200 regular priced tickets and discounted student tickets last... (answered by josgarithmetic)

find the equation. Orlando paid 55.60 for a number of tickets to a hockey game. If each... (answered by ewatrrr)

Gold sale. At 25% off, a jeweler is selling a gold chain for $465. What ws the list... (answered by IA)

The seating capacity of a hockey arena is 18,000. With the ticket price set at $100,... (answered by lwsshak3)

Sam brought 1 to 250 tickets selling for $2 in a game with a game prize of $400. Was $2 a (answered by stanbon)

The price of a fan is $15. The price is 27% lower than last week. What was the price of... (answered by Boreal)