SOLUTION: On the opening night of a play at a local​ theatre, 990 tickets were sold for a total of  ​$9858. Adult tickets cost ​$13 each.​ Children's tick
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: On the opening night of a play at a local​ theatre, 990 tickets were sold for a total of  ​$9858. Adult tickets cost ​$13 each.​ Children's tick
Log On
Question 1094425: On the opening night of a play at a local theatre, 990 tickets were sold for a total of $9858. Adult tickets cost $13 each. Children's tickets cost $9 each, and senior citizen tickets cost $5 each. If the combined number of children and adult tickets exceeded twice the number of senior citizen tickets by 222, then how many tickets of each type were sold? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = number of adult tickets sold
Let = number of children's tickets sold
Let = number of senior tickets sold
---------------------------------------------
(1)
(2)
(3)
--------------------------------
There are 3 equations and 3 unknowns, so it's solvable
-----------------
(3)
Subtract (3) from (1)
(1)
(3)
-----------------------------
------------------
(2)
(2)
(2)
and
(1)
(1)
(1)
----------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
--------------------------
------------------
and
(3)
(3)
(3)
(3)
(3)
---------------------------------
The number of adult tickets sold was 493
The number of children's tickets sold was 241
The number of senior tickets sold was 256
-----------------------------------------
Check answers
(1)
(1)
(1)
You can check (2) and (3)
Get another opinion if needed
