Respuesta :
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 [tex]x.[/tex]
And let the number of adult tickets be [tex]y.[/tex]
So, the total number of tickets sold:
[tex]x+y=225\\\\y=225-x\ \ \ ....(1)[/tex]
Now, the total amount of the tickets sold:
[tex]3.00(x)+4.50(y)=937.50[/tex]
Substituting the value of [tex]y[/tex] from equation (1) we get:
[tex]3.00(x)+4.50(225-x)=937.50[/tex]
[tex]3x+1012.50-4.50x=937.50[/tex]
[tex]1012.50-1.50x=937.50[/tex]
Subtracting both sides by 1012.50 we get:
[tex]-1.50x=-75[/tex]
Dividing both sides by -1.50 we get:
[tex]x=50.[/tex]
The number of children tickets = 50.
Therefore, 50 children's tickets were sold.
