Question

If there are tickets sold to children for $5 and $12 to adults, and there are only 400 tickets sold for $3925 then how many children tickets were sold?

Answer 1

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
`=x * \text { Price of } 1 \text { ticket sold to children }`

`x * 5=5 x`

Amount generated from (400 – x) tickets sold to adults
`=x * \text { Price of } 1 \text { ticket sold to adult }`

`=(400-x) * 12=4800-12 \mathrm{x}`

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.