SOLUTION: There were 244 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper reserved tickets cost $8.00. The total amount of money spent was

Algebra ->  Equations -> SOLUTION: There were 244 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper reserved tickets cost $8.00. The total amount of money spent was       Log On


   



Question 861243: There were 244 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $2267.00. How many of each kind of ticket were purchased?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
L = 8 dollars/ticket
H = 12.50 dollars/ticket
x = how many low price tickets
y = how many high price tickets

Account for tickets: x+y=244
Account for revenue (total money of sales): Lx+Hy=2267

The variables needing be solved are x and y. A suggestion for method is to use Substitution.

Starting that process,
y=244-x.
Lx%2BH%28244-x%29=2267
Lx%2B244H-Hx=2267
Lx-Hx=2267-244H
.
.
You continue and finish...

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
There were 244 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $2267.00. How many of each kind of ticket were purchased?

Let number of lower box tickets sold be L
Then number of upper reserved tickets sold = 244 - L
Therefore, 12.5L + 8(244 - L) = 2267
Solve for L, the number of lower box tickets sold
Substitute value for L to determine the number of upper reserved tickets sold
Then do the check!!
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