Respuesta :
125 children tickets were sold
Solution:
Given that
Price of 1 ticket sold to children = $5
Price of 1 ticket sold to adult = $12
Total number of ticket sold = 400
Amount generated by selling 400 tickets = $3925.
Need to calculate number of ticket sold to children’s
Let’s assume number of tickets sold to childrens = x
So number of tickets sold to adults = 400 – x
Amount generated from x ticket sold to children [tex]=x \times \text { Price of } 1 \text { ticket sold to children }[/tex]
[tex]x \times 5=5 x[/tex]
Amount generated from (400 – x) tickets sold to adults [tex]=x \times \text { Price of } 1 \text { ticket sold to adult }[/tex]
[tex]=(400-x) \times 12=4800-12 \mathrm{x}[/tex]
Total amount generated from 400 tickets = Amount generated from children’s tickets + Amount generated from adults ticket
= 5x + (4800 – 12x) = 4800 -7x
As given that amount generated = 3965
=> 3965 = 4800 – 7x
Solving above expression to get value of x, we get
7x = 4800 - 3965
=> 7x = 875
=> x = 125.
Hence number of children tickets sold = 125.
