SOLUTION: a movie theater charges $10 for an adult ticket and $7 for a child ticket. they sold 172 tickets altogether and made $1480 in ticket sales. how many of each did they sell?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a movie theater charges $10 for an adult ticket and $7 for a child ticket. they sold 172 tickets altogether and made $1480 in ticket sales. how many of each did they sell?      Log On


   

Question 906455: a movie theater charges $10 for an adult ticket and $7 for a child ticket. they sold 172 tickets altogether and made $1480 in ticket sales. how many of each did they sell?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Two very recent requests seem to really be the same problem as different examples:

906455 (2014-09-26 19:10:21): a movie theater charges $10 for an adult ticket and $7 for a child ticket. they sold 172 tickets altogether and made $1480 in ticket sales. how many of each did they sell?

906454 (2014-09-26 19:04:38): A total of 1,025 tickets were sold for a game for a total of $1,250. If adult tickets sold for $2.00 and children's tickets sold for $1.00, how many of each kind of ticket were sold?


ASSIGN VARIABLES

a = ticket price for one adult
c = ticket price for one child
T = how many tickets sold
R = revenue or sales of tickets sold
x = UNKNOWN, how many children tickets sold
y = UNKNOWN, how many adult tickets sold

Account for number of tickets: x%2By=T

Account for sales or revenue: c%2Ax%2Ba%2Ay=R

system of equations to solve for x and y, highlight%28system%28x%2By=T%2Ccx%2Bay=R%29%29;
The Elimination Method will probably be the best way, but substitution method is still
perfectly acceptable to use, and maybe some combination of both.