Answer:
$300
Explanation:
Let's first create a variable representing the initial amount of money Imran had. We'll call it "x".
We are told that Imran put ¼ of his landscaping money in savings, so that means he had 1 - ¼ = ¾ of his original amount left.
We are also told that he used ½ of the remaining money to pay back his sister, which means he had ¾ * ½ = 3/8 of his original amount left.
Finally, we are told that he has $150 left, so we can set up the equation:
3/8 * x = $150
Solving for x, we find that the initial amount of money Imran had was x = $150 / (3/8) = $300. Answer: \boxed{300}.