SOLUTION: Adult tickets for a play costs $14 and child tickets costs $3. If there were 26 people at a performance and the theater collected $199 from ticket sales. How many adults and childr
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Question 107610: Adult tickets for a play costs $14 and child tickets costs $3. If there were 26 people at a performance and the theater collected $199 from ticket sales. How many adults and children attended the play?
Answer by chitra(359) (Show Source): You can put this solution on YOUR website!
According to the given data it is given that
Let the adult be represented by x and the cost of an adult ticket is $14
Let the children be represented by y and the cost of the per ticket is $3
And the amount collected at that show is $199
Now let us form the simultaneous equations and then solve them.
The equations are:
14x + 3y = 199 ---------------(1)
x + y = 26 ---------------(2)
=============================
Multiply EQN (2) by 3 and subtract it from (1)
14x + 3y = 199
3x + 3y = 78
- - -
===============
11x = 121
==>
==> x = 11
by back substitution we find the value of y.
11 + y = 26
==> y = 26 - 11
==> y = 15
Hence, 15 children and 11 adults attended the show.
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