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

Answer:

The number of adult ticket sold is $12$

The number of child ticket sold is $38$

Step-by-step 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,

$8(50-y)+4y=248\\400-8y+4y=248\\-4y+400=248\\-4y=248-400\\-4y=-152\\y=\frac{-152}{-4}\\y=38$

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 $38$