Question

Tickets to the Biggest Loser Contest cost

$3.00 for children and $4.50 for adults. If

225 tickets were sold for a total of $937.50,

How many children's tickets were sold?

Answer 1

50 children's tickets were sold.

Explanation:

Given:

Tickets to the Biggest Loser Contest cost $3.00 for children and $4.50 for

adults. If 225 tickets were sold for a total of $937.50.

Now, to get the children's tickets sold.

Let the number of children tickets be
`x.`

And let the number of adult tickets be
`y.`

So, the total number of tickets sold:

`x+y=225\\\\y=225-x\ \ \ ....(1)`

Now, the total amount of the tickets sold:

`3.00(x)+4.50(y)=937.50`

Substituting the value of
`y` from equation (1) we get:

`3.00(x)+4.50(225-x)=937.50`

`3x+1012.50-4.50x=937.50`

`1012.50-1.50x=937.50`

Subtracting both sides by 1012.50 we get:

`-1.50x=-75`

Dividing both sides by -1.50 we get:

`x=50.`

The number of children tickets = 50.

Therefore, 50 children's tickets were sold.