SOLUTION: the cinema sold 200 ticket for 22600 totally. if the denomination of the ticket were rs.100 and rs.120. how many ticket each denomination were sold.

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Question 724056: the cinema sold 200 ticket for 22600 totally. if the denomination of the ticket were rs.100 and rs.120. how many ticket each denomination were sold.
Found 3 solutions by mananth, josgarithmetic, josmiceli:
Answer by mananth(16946)   (Show Source):
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x= number of 100 rupee tickets
y= number of 120 rupee tickets

x + y = 200 .............1
Total value
100 x + 120 y = 22600 .............2
Eliminate y
multiply (1)by -120
Multiply (2) by 1
-120 x -120 y = -24000
100 x + 120 y = 22600
Add the two equations
-20 x = -1400
/ -20
x = 70
plug value of x in (1)
1 x + 1 y = 200
70 + y = 200
y = 200 -70
y = 130
y = 130
x= 70 number of 100 rupee tickets
y= 130 number of 120 rupee tickets
m.ananth@hotmail.ca

Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!
This might be understood if your "totally" means revenue is 22600 of the rs units were sold.

Let x = count of rs.100 tickets
Let y = count of rs.120 tickets
and . Solve x and y in that system.

The first equation is simplifiable to 10x+12y=2260, or 5x+6y=1130, so a better system is:

Solve system for x and y.

Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website!
Let = number of rs. 100 tickets sold
Let = number of rs. 120 tickets sold
given:
(1)
(2)
--------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
70 rs. 100 tickets were sold
130 rs. 120 tickets were sold
check answer:
(2)
(2)
(2)
(2)
OK