Tickets for a play at the community theater cost $8 for children and $20 for adults. A total of 300 tickets have been sold for $3,900. How many children's tickets have been sold?
A
75 tickets
B
125 tickets
C
150 tickets
D
175 tickets
Let x be the number of children's tickets sold and y be the number of adult tickets sold.
From the given information, we can create two equations:
1. x + y = 300 (total tickets sold)
2. 8x + 20y = 3900 (total revenue)
Solving this system of equations, we get:
1. x = 300 - y
2. 8(300 - y) + 20y = 3900
3. 2400 - 8y + 20y = 3900
4. 12y = 1500
5. y = 125
Therefore, the number of adult tickets sold is 125. Substituting back into the first equation:
x + 125 = 300
x = 175
So, 175 children's tickets have been sold. Therefore, the answer is D) 175 tickets.