SOLUTION: A movie theater has two ticket prices: $7 for adults and $5 for children. If the box office took in $2970 from the sale of 500 tickets, how many tickets of each kind were sold?

Question 1027501: A movie theater has two ticket prices: $7 for adults and $5 for children. If the box office took in $2970 from the sale of 500 tickets, how many tickets of each kind were sold?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x= number of adult tickets
y= number of child tickets
Total sold
1.00 x + 1.00 y = 500.00 .............1
Total value
7.00 x + 5.00 y = 2970.00 .............2
Eliminate y
multiply (1)by -5.00
Multiply (2) by 1.00
-5.00 x -5.00 y = -2500.00
7.00 x + 5.00 y = 2970.00
Add the two equations
2.00 x = 470.00
/ 2.00
x = 235.00
plug value of x in (1)
1.00 x + 1.00 y = 500.00
235.00 + y = 500.00
y = 500.00 -235.00
y = 265.00
y = 265.00
x= 235.00 number of adult tickets
y= 265.00 number of child tickets
m.ananth@hotmail.ca

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