An entity’s owners’ equity is one-third of its total liabilities. Its assets total $200,000. What is the amount of its owners’ equity?Question 2Select one:a.$50,000b.$66,667c.$150,000d.$300,000
Question
An entity’s owners’ equity is one-third of its total liabilities. Its assets total 50,000b.150,000d.$300,000
Solution 1
To solve this problem, we need to use the accounting equation: Assets = Liabilities + Owners' Equity.
We know that Owners' Equity is one-third of total liabilities. So, we can express Owners' Equity as Liabilities/3.
Substituting this into the accounting equation, we get: Assets = Liabilities + (Liabilities/3).
We know that Assets total 200,000 = Liabilities + (Liabilities/3).
To solve for Liabilities, we first need to get rid of the fraction by multiplying the entire equation by 3: 3*$200,000 = 3*Liabilities + Liabilities.
This simplifies to: $600,000 = 4*Liabilities.
Dividing both sides by 4, we find that Liabilities = $150,000.
Since Owners' Equity is one-third of Liabilities, we divide 50,000.
So, the answer is a. $50,000.
Solution 2
To solve this problem, we need to use the accounting equation: Assets = Liabilities + Owners' Equity.
We know that Assets = $200,000 and Owners' Equity is one-third of total liabilities. Let's denote Liabilities as L and Owners' Equity as OE.
So, we can write the equation as follows: $200,000 = L + OE.
Given that OE is one-third of L, we can write OE as L/3.
Substitute OE in the equation: $200,000 = L + L/3.
To solve for L, we need to get rid of the fraction by multiplying the whole equation by 3: 3*$200,000 = 3L + L.
This simplifies to $600,000 = 4L.
Solving for L, we get L = 150,000.
Since Owners' Equity is one-third of Liabilities, OE = 50,000.
So, the amount of its owners' equity is 50,000.
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