Question

James sold 450 tickets for the community play. Tickets for children cost $2, and tickets for adults cost $5. James sold $1,800 worth of tickets.

How many tickets for adults did James sell?

Answer 1

1,800/450=4
That means that the average price of tickets was 4.
Now the average of, 5, 5 and 2 is 4, that means that 2/3 of the tickets sold were adult tickets.
2/3 of 450 is 300 so James sold 300 adult tickets.

Hope this helps :)

Answer 2

Answer: 300

Explanation:

Let x be the number of children tickets and y be the adult tickets ,

Then the total number of tickets sold is given by :-

`x+y=450........................(1)`

The total cost of the tickets will be given by :-

`2x+5y=1800.............................(2)`

Multiply equation (1) with 2 , we get

`2x+2y=900......................(3)`

Subtract (3) from (2) we get

`3y=900\\\Rightarrow\ y=300`

Hence the number of tickets for adults sold by James = 300