Final answer:
To solve this problem, set up a system of equations with variables for the number of Godzilla DVDs and Titanic DVDs sold. Simplify the equations and solve for the variables.
Step-by-step explanation:
To solve this problem, we can set up a system of equations. Let's assume the number of Godzilla DVDs sold is x. According to the problem, Linda's Video Store sold thirty more Titanic DVDs than double the number of Godzilla DVDs sold, so the number of Titanic DVDs sold would be 2x + 30.
Next, we can set up the equation for the total sales. The price of a Titanic DVD is $15, so the revenue from Titanic DVDs sold would be (2x + 30) * 15. The price of a Godzilla DVD is $20, so the revenue from Godzilla DVDs sold would be x * 20. The total sales is given as $2250, so we can set up the equation: (2x + 30) * 15 + x * 20 = 2250.
Simplifying the equation, we get 30x + 450 + 20x = 2250. Combining like terms, we have 50x + 450 = 2250. Subtracting 450 from both sides, we get 50x = 1800. Dividing both sides by 50, we find x = 36. Therefore, 36 Godzilla DVDs were sold and the number of Titanic DVDs sold would be 2(36) + 30 = 102.