How would a 50% equity and 50% debt purchase of a plants property or equipment fixed asset affect three financial statements?

Let's say we purchase a $100 plant asset. This means $50 of stock was used and $50 of debt was used. The cash proceeds were all used to buy the plant asset. If you generally think about accounting journal entries for this purchase, I think it is quite clear that there are no income statement items. We are working with balance sheet accounts in this problem.

Best way to do these problems is think of changes to I/S, then CFS, and finally B/S.

I/S- Not affected. Of course there will be interest expense in the future from the debt which will impact net income. However, you didn't say 1 or 2 years in the future, so I'm only going to focus on the present right after the asset is acquired.

CFS- Capital expenditure of $100 means cash flows from investing drops by $100. However, in the cash from financing section, you have $50 from issuance of debt and $50 from issuance of stock. This means cash flows from financing goes up by $100. Since CFI went down by $100 and CFF went up by $100, net increase in cash is 0 or cash doesn't change at all.

B/S- PPE is up by $100. Assets are up by $100. Debt, which is a liability, went up by $50. Common stock, which is a stockholders' equity account, went up by $50. We know that assets= liabilities + stockholders' equity. $100 increase in assets is matched with $50 increase in liabilities and $50 increase in stockholders' equity. $100= $100 so we are balanced.

Hope this helps