Story Problem: number of tickets sold

H

haliebre

New member
Joined
Apr 4, 2006
Messages
43
The receipts for one showing of a movie were$475 for an audience of 100 people. The ticket prices were $6.50 for adults and $4.00 for children under age 12 and adults over age 65. How many adult tickets were sold?
 
Re: Story Problem

haliebre said:
The receipts for one showing of a movie were$475 for an audience of 100 people. The ticket prices were $6.50 for adults and $4.00 for children under age 12 and adults over age 65. How many adult tickets were sold?
Click to expand...

Is this problem stated exactly as given? Since there is no distinction between the "adults" paying 6.50 and the "adults" paying 4.00, the is no way to determine how many adult tickets were sold. If the problem wants to know how many regular adult tickets were sold, then it's solvable. How have you tried to set this problem up?
 
Let there be X adult tickets and (100-X) children below 12+adults over 65
X adult tickets will give you x*6.5
And the rest will give you 4.0*(100-X)
We know the sum total is 475
i.e.
x*6.5 +4.0*(100-X) = 475
6.5X+400 -4.0X = 475
2.5X = 75
X = 75/2.5 = 30

So 30 adult tickets were sold :)
 
You must log in or register to reply here.
Top