Final answer:
Stockholders' equity at December 31, Year 3 is determined to be $197,500. This is calculated by adding the initial equity to the net increase in assets and decrease in liabilities over the year.
Step-by-step explanation:
The calculation of stockholders' equity at the end of Year 3 can be determined using the basic accounting equation: Assets = Liabilities + Stockholders' Equity. We know that at the start of the year, Wayfarer Co. had assets of $365,000 and stockholders' equity of $153,000. During the year, assets increased by $21,500 and liabilities decreased by $23,000.
To find the stockholders' equity at the end of the year, we adjust the initial equity balance by the change in assets and liabilities. The new value of assets at year-end is $365,000 (beginning assets) + $21,500 (increase in assets) = $386,500. Given that liabilities decreased, this change will directly increase stockholders' equity. So, the change in equity is the increase in assets of $21,500 plus the decrease in liabilities of $23,000, totaling $44,500.
The new stockholders' equity is $153,000 (initial equity) + $44,500 (change in equity) = $197,500 at December 31, Year 3.