Final answer:
To find the number of adult and children's tickets sold at a local movie theater, set up a proportion using the given ratio of 5:6. Choose a value for one variable and solve for the other to find the possible combinations.
Step-by-step explanation:
To solve this problem, we can set up a proportion using the given ratio of adult tickets to children's tickets. Let's let 'x' represent the number of adult tickets sold and 'y' represent the number of children's tickets sold.
Using the ratio 5:6, we can write the proportion:
5/6 = x/y
To find the possible values for 'x' and 'y', we can choose a value for one variable and solve for the other. For example, if we let 'x' be 5, we can solve the proportion:
5/6 = 5/y
Cross multiplying, we get:
5y = 5*6
y = 30
So, if 5 adult tickets were sold, 30 children's tickets were sold. Similarly, we can choose different values for 'x' and find the corresponding values for 'y'.