Question

Tickets to the Biggest Loser Contest cost

Answer 1

Answer:

50 children's tickets were sold.

Step-by-step 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.