Question

Adult tickets to a carnival are $8 and child tickets are $4. Total of $50 tickets were sold and $248 was collected. How many adult tickets were sold?

Answer 1

The number of adult ticket sold is
`12`

The number of child ticket sold is
`38`

Explanation:

Given cost of adult tickets are $
`8`, and cost of child tickets are $
`4`

Let the number of adult ticket sold is
`x`

Also, the number of child ticket sold is
`y`

We can write two equation from given information.

`x+y=50\ Equation\ (1)\\8x+4y=248\ Equation(2)`

Now, plug
`x=50-y` in
`Equation(2)` we get,

`8(50-y)+4y=248\\400-8y+4y=248\\-4y+400=248\\-4y=248-400\\-4y=-152\\y=(-152)/(-4)\\y=38`

Now, from
`Equation(1)`

`x+y=50\\x+38=50\\x=50-38\\x=12`

So, The number of adult ticket sold is
`12`. And the number of child ticket sold is
`38`