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Imran puts ¼ of his landscaping money in savings and uses ½ of the remaining money to pay back his sister. If he has $150 left, how much did he have at first?​

1 Answer

3 votes

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}.

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