Recall that Simple Interest = Principle * Rate * Time

The interest gained here is, of course, 54976 - 50000 = 4976

So now we set up our simple interest equations. we have two accounts, so we must have a sum of the two simple interests giving 4976

Thus we have:

so let's say the first account is the one that gives 5.2% interest. And let's say we invest

dollars into this account. what do we have remaining? well,

dollars, of course.

so our equation becomes:

or

now solve for

, that will be the amount you invested into the first account. then subtract that answer from 50000 to find how much you invested into the second account