Answer:
55 children's tickets
Step-by-step explanation:
Let the number of adult tickets sold = a
Let the number of children tickets sold = c
As per the statement "The adult tickets were sold four times as many as children's tickets".the equation will be
a = 4c ----- (1)
As per second statement "the prices of the tickets for adults and children are $10 and $5 respectively."
The total price of the adult tickets = 10a
the total price of the children tickets = 5c
total tickets were sold for = $2,475
So the equation will be
10a + 5c = 2,475 ------(2)
Now substitute the the value of a from equation (1) to equation (2).
10(4c) + 5c = 2,475
40c + 5 c = 2,475
45c = 2,475
c = [tex]\frac{2475}{45}[/tex]
c = 55
The number of children's tickets 55.
