Final answer:
By setting up a system of equations with the given prices and conditions, it was calculated that 40 children's tickets were sold. However, this result does not match any of the options provided, indicating a need for re-evaluation.
Step-by-step explanation:
To determine the number of children's tickets sold at a movie theater with the given conditions, we can set up two equations based on the information provided. Let's define x as the number of children's tickets sold and y as the number of adult tickets sold. According to the problem, the price for a children's ticket is $5.70 and for an adult ticket is $9.40. The total sales from both types of tickets was $980. We also know that twice as many adult tickets as children tickets were sold, which can be represented as y = 2x. Using these facts, we can form the following system of equations:
- 5.70x + 9.40y = 980
- y = 2x
Substituting the second equation into the first gives us:
5.70x + 9.40(2x) = 980
5.70x + 18.80x = 980
24.50x = 980
x = 980 / 24.50
x = 40
Therefore, 40 children's tickets were sold that day. However, since this number does not appear in the provided options, we need to double-check our solution or re-evaluate the alternatives given (a. 50, b. 94, c. 141, d. 47).