Question 1151828: A movie theater charges $5 for an adult ticket and $2 for a child's ticket.one day the the theater sold 785 tickets for $3280.how msny of each type of ticket were sold?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A movie theater charges $5 for an adult ticket and $2 for a child's ticket.
one day the the theater sold 785 tickets for $3280.
how many of each type of ticket were sold?
:
Let a = no. of adult tickets
let c = no. of children's tickets
:
no. of tickets sold equation
a + c = 785
total revenue equation
5a + 2c = 3280
use elimination here, multiply the 1st equation by 2, subtract from the 2nd equation
5a + 2c = 3280
2a + 2c = 1570
-------------- subtraction eliminates c, find a
3a + 0 = 1710
a = 1710/3
a = 570 adults
and
785 - 570 = 215 children
"
"
"
Check solutions using the revenue equation
5(570) + 2(215) =
2850 + 430 = 3280
|
|
|
