Which is more money: 50% of the sum of $150 and $50 or 1.5 times
the difference between $50 and $150 ?

50% of the sum of $150 and $50 is greater.

Step-by-step explanation:

We are asked to which of the given two quantities is greater.

Let us find 50% of the sum of $150 and $50 as:    

Now, we will find 1.5 times  the difference between $50 and $150 as:

Therefore, 50% of the sum of $150 and $50 is greater than 1.5 times  the difference between $50 and $150.