SOLUTION: Can someone please help me work this out? There were 409 tickets purchased for a major league baseball game. The lower box tickets cost ​$12.50 and the upper box tickets

Algebra ->  Systems-of-equations -> SOLUTION: Can someone please help me work this out? There were 409 tickets purchased for a major league baseball game. The lower box tickets cost ​$12.50 and the upper box tickets      Log On


   

Question 1125420: Can someone please help me work this out?
There were 409 tickets purchased for a major league baseball game. The
lower box tickets cost ​$12.50 and the upper box tickets cost ​$10.00. The total amount of money spent was ​$4575.00. How many of each kind of ticket were​ purchased?
How many lower box tickets were​ purchased?
How many upper box tickets were​ purchased?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Ratio of ticket prices is 5 to 4.
You may be able to use that.

Otherwise
x, lower box tickets
y, upper box tickets
system%28x%2By=409%2C12.5x%2B10y=4575%29

10x%2B8y=3660
5x%2B4y=1830
-
system%285x%2B4y=1830%2Cx%2By=409%29

system%285x%2B4y=1830%2C4x%2B4y=1636%29

highlight%28x=194%29-----------lower box tickets

highlight%28y=215%29---------upper box tickets

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Can someone please help me work this out?
There were 409 tickets purchased for a major league baseball game. The
lower box tickets cost ​$12.50 and the upper box tickets cost ​$10.00. The total amount of money spent was ​$4575.00. How many of each kind of ticket were​ purchased?
How many lower box tickets were​ purchased?
How many upper box tickets were​ purchased? 
ONLY ONE (1) variable is needed!

Let number of lower level be L

Then number of upper level = 409 - L

We then get: 12.5L + 10(409 - L) = 4,575

12.5L + 4,090 - 10L = 4,575

2.5L = 4,575 - 4,090 

2.5L = 485

L, or number of lower level = highlight_green%28matrix%281%2C3%2C+485%2F2.5%2C+%22=%22%2C+194%29%29

You can find the number of upper level tickets.