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Step-by-step solution for: Basic accounting equation activity | PDF
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Show Answer Key & Explanations
Step-by-step solution for: Basic accounting equation activity | PDF
Let's solve each part of the problem step by step using the Basic Accounting Equation:
> Assets = Liabilities + Owner's Equity
---
We use:
Liabilities = Assets – Owner’s Equity
or
Owner’s Equity = Assets – Liabilities
#### Case 1
- Liabilities = 250,000
- Owner’s Equity = 150,000
- Assets = Liabilities + Owner’s Equity = 250,000 + 150,000 = 400,000
But this is not required in A — we just need to verify or fill what's missing.
Wait, actually in Part A, only Liabilities and Owner’s Equity are given, but no Assets. But in Part B, Assets are given.
Let’s re-express Part A correctly.
Looking at Part A, it seems like only Liabilities and Owner’s Equity are provided — but we can't compute anything unless we know one of them. Wait — perhaps there's a typo?
Actually, Part A appears to be incomplete as written. But likely, it's meant to be fill in the missing value based on the equation.
Let’s analyze each case in Part A:
| Case | Liabilities | Owner’s Equity | Missing Value |
|------|-------------|----------------|---------------|
| 1 | 250,000 | 150,000 | → Assets = 400,000 (but not asked here) |
| 2 | 350,000 | ??? | Need to find Owner’s Equity? But no assets given. |
Wait — this is confusing. Let’s look at Part B, which gives Assets and asks for the missing value.
So probably Part A is not standalone — maybe it's mislabeled.
But let’s assume Part A is asking us to compute the missing value in the equation using the given numbers.
But in Part A, only Liabilities and Owner’s Equity are listed. So unless Assets are implied, we cannot proceed.
Wait — looking closely, Part A has two columns: Liabilities and Owner’s Equity. But no Assets. So likely, Part A is incomplete or misplaced.
But then Part B gives full equations with Assets = Liabilities + Owner’s Equity.
So let’s skip Part A for now and go to Part B, which is clearer.
---
Use:
Assets = Liabilities + Owner’s Equity
#### Case 1
- Assets = 400,000
- Liabilities = ?
- Owner’s Equity = 210,000
So:
> Liabilities = Assets – Owner’s Equity = 400,000 – 210,000 = 190,000
✔ Answer: 190,000
#### Case 2
- Assets = ?
- Liabilities = 195,500
- Owner’s Equity = 85,000
> Assets = 195,500 + 85,000 = 280,500
✔ Answer: 280,500
#### Case 3
- Assets = 510,000
- Liabilities = 167,500
- Owner’s Equity = ?
> Owner’s Equity = 510,000 – 167,500 = 342,500
✔ Answer: 342,500
#### Case 4
- Assets = ?
- Liabilities = 310,500
- Owner’s Equity = ?
Wait — both missing! But we have no other info.
Wait — check: In Part C, we see that Case 4 has:
- Assets = 85,000
- Liabilities = ?
- Owner’s Equity = ?
But here in Part B, Case 4 says:
> Assets = ?
> Liabilities = 310,500
> Owner’s Equity = 195,600
Wait — that contradicts Part C.
Let’s re-check the original image.
Ah — likely, each case is independent. So we must treat each row separately.
In Part B, Case 4:
- Assets = ?
- Liabilities = 310,500
- Owner’s Equity = 195,600
So:
> Assets = 310,500 + 195,600 = 506,100
✔ Answer: 506,100
#### Case 5
- Assets = 325,300
- Liabilities = 165,300
- Owner’s Equity = ?
> Owner’s Equity = 325,300 – 165,300 = 160,000
✔ Answer: 160,000
---
| Case | Assets | Liabilities | Owner’s Equity |
|------|--------------|---------------|----------------|
| 1 | 400,000 | 190,000 | 210,000 |
| 2 | 280,500 | 195,500 | 85,000 |
| 3 | 510,000 | 167,500 | 342,500 |
| 4 | 506,100 | 310,500 | 195,600 |
| 5 | 325,300 | 165,300 | 160,000 |
---
Now, Part C gives percentages and some values.
We use:
> Assets = Liabilities + Owner’s Equity
And percentages are given for Liabilities or Owner’s Equity relative to Assets.
#### Case 1
- Assets = 60,000
- Liabilities = 40,000
- Owner’s Equity = ?
> Owner’s Equity = 60,000 – 40,000 = 20,000
✔ Answer: 20,000
#### Case 2
- Assets = 45,000
- Liabilities = ?
- Owner’s Equity = 30% of total assets?
Wait — it says: "Owner’s Equity" is 30% — so:
> Owner’s Equity = 30% × 45,000 = 0.30 × 45,000 = 13,500
Then:
> Liabilities = Assets – Owner’s Equity = 45,000 – 13,500 = 31,500
✔ Answer: 31,500
#### Case 3
- Assets = ?
- Liabilities = 40% of assets
- Owner’s Equity = 45,000
Let Assets = X
Then:
> Liabilities = 0.40X
> Owner’s Equity = 45,000
Equation:
> X = 0.40X + 45,000
> X – 0.40X = 45,000
> 0.60X = 45,000
> X = 45,000 / 0.60 = 75,000
So:
- Assets = 75,000
- Liabilities = 0.40 × 75,000 = 30,000
✔ Answer: 75,000
#### Case 4
- Assets = 85,000
- Liabilities = ?
- Owner’s Equity = 75% of assets?
Yes — "Owner’s Equity" is 75%, so:
> Owner’s Equity = 75% × 85,000 = 0.75 × 85,000 = 63,750
Then:
> Liabilities = 85,000 – 63,750 = 21,250
✔ Answer: 21,250
#### Case 5
- Assets = ?
- Liabilities = 35,000
- Owner’s Equity = 35% of assets?
Wait — it says: "Owner’s Equity" is 35% — so:
Let Assets = X
Then:
> Owner’s Equity = 0.35X
> Liabilities = 35,000
So:
> X = 0.35X + 35,000
> X – 0.35X = 35,000
> 0.65X = 35,000
> X = 35,000 / 0.65 ≈ 53,846.15
So:
- Assets ≈ 53,846.15
- Owner’s Equity = 0.35 × 53,846.15 ≈ 18,846.15
But wait — the question asks for Owner’s Equity? Or Assets?
Look: It says:
> Owner’s Equity = 35%
> Liabilities = 35,000
> Find: Owner’s Equity? Or Assets?
The blank is under Owner’s Equity, so we need to find Owner’s Equity.
But we don’t have assets — but we do have liabilities and percentage.
Wait — the table shows:
| Case | Assets | Liabilities | Owner’s Equity |
|------|--------|-------------|----------------|
| 5 | ? | 35,000 | 35% |
So Owner’s Equity is 35% of Assets, and Liabilities = 35,000.
Let Assets = X
Then:
> Owner’s Equity = 0.35X
> Liabilities = 35,000
So:
> X = 0.35X + 35,000
> 0.65X = 35,000
> X = 35,000 / 0.65 ≈ 53,846.15
Then:
> Owner’s Equity = 0.35 × 53,846.15 ≈ 18,846.15
But since the question says “Owner’s Equity” is 35%, and we’re to fill in the value, it should be:
✔ 18,846.15 (approx)
But likely, we should round to nearest peso.
So: 18,846
Alternatively, maybe it's 35% of total equity, but no — it's labeled as Owner’s Equity = 35%, meaning 35% of assets.
So answer: 18,846
But let's confirm:
Assets = 53,846.15
Liabilities = 35,000
Owner’s Equity = 18,846.15
Check: 35,000 + 18,846.15 = 53,846.15 ✔
So yes.
✔ Owner’s Equity = 18,846
---
| Case | Assets | Liabilities | Owner’s Equity |
|------|--------------|---------------|----------------|
| 1 | 60,000 | 40,000 | 20,000 |
| 2 | 45,000 | 31,500 | 13,500 |
| 3 | 75,000 | 30,000 | 45,000 |
| 4 | 85,000 | 21,250 | 63,750 |
| 5 | 53,846 | 35,000 | 18,846 |
---
#### a. Jade
- Obligation (Liabilities) = P450,000
- Total Assets = P950,000
- Find: Owner’s Equity
> Owner’s Equity = Assets – Liabilities = 950,000 – 450,000 = P500,000
✔ P500,000
#### b. Bernabe
- Owner’s Equity = P375,000
- Assets = P1,050,000
- Find: Liabilities
> Liabilities = Assets – Owner’s Equity = 1,050,000 – 375,000 = P675,000
✔ P675,000
#### c. Luz
- Owner’s Equity = P750,000
- Financial obligation (Liabilities) = P325,000
- Find: Total Assets
> Assets = Liabilities + Owner’s Equity = 325,000 + 750,000 = P1,075,000
✔ P1,075,000
#### d. ABC Company
- Total Assets = P970,000
- Total Liabilities = P495,000
- Find: Owner’s Equity
> Owner’s Equity = 970,000 – 495,000 = P475,000
✔ P475,000
#### e. Erlinda
- Initial capital = P250,000 (this is initial owner’s equity)
- At end of year:
- Creditor’s claim = P100,000 → Liabilities
- Owner’s equity = 75% of total assets
- Find: Total assets
Let Total Assets = X
Then:
> Owner’s Equity = 75% of X = 0.75X
> Liabilities = 100,000
But also:
> Assets = Liabilities + Owner’s Equity
> X = 100,000 + 0.75X
> X – 0.75X = 100,000
> 0.25X = 100,000
> X = 100,000 / 0.25 = 400,000
So:
- Total Assets = P400,000
✔ P400,000
#### f. Firm
- Total Assets = P350,000
- Owner’s Equity = 35%
- Find: Total creditor’s claim (Liabilities)
> Owner’s Equity = 35% × 350,000 = 0.35 × 350,000 = 122,500
> Liabilities = Assets – Owner’s Equity = 350,000 – 122,500 = 227,500
✔ P227,500
---
| Item | Answer |
|------|--------|
| a. | P500,000 |
| b. | P675,000 |
| c. | P1,075,000 |
| d. | P475,000 |
| e. | P400,000 |
| f. | P227,500 |
---
#### B.
- Case 1: Liabilities = 190,000
- Case 2: Assets = 280,500
- Case 3: Owner’s Equity = 342,500
- Case 4: Assets = 506,100
- Case 5: Owner’s Equity = 160,000
#### C.
- Case 1: Owner’s Equity = 20,000
- Case 2: Liabilities = 31,500
- Case 3: Assets = 75,000
- Case 4: Liabilities = 21,250
- Case 5: Owner’s Equity = 18,846
#### D.
- a. P500,000
- b. P675,000
- c. P1,075,000
- d. P475,000
- e. P400,000
- f. P227,500
Let me know if you'd like this formatted neatly for printing or submission.
> Assets = Liabilities + Owner's Equity
---
A. Fill in the missing values for Liabilities or Owner’s Equity
We use:
Liabilities = Assets – Owner’s Equity
or
Owner’s Equity = Assets – Liabilities
#### Case 1
- Liabilities = 250,000
- Owner’s Equity = 150,000
- Assets = Liabilities + Owner’s Equity = 250,000 + 150,000 = 400,000
But this is not required in A — we just need to verify or fill what's missing.
Wait, actually in Part A, only Liabilities and Owner’s Equity are given, but no Assets. But in Part B, Assets are given.
Let’s re-express Part A correctly.
Looking at Part A, it seems like only Liabilities and Owner’s Equity are provided — but we can't compute anything unless we know one of them. Wait — perhaps there's a typo?
Actually, Part A appears to be incomplete as written. But likely, it's meant to be fill in the missing value based on the equation.
Let’s analyze each case in Part A:
| Case | Liabilities | Owner’s Equity | Missing Value |
|------|-------------|----------------|---------------|
| 1 | 250,000 | 150,000 | → Assets = 400,000 (but not asked here) |
| 2 | 350,000 | ??? | Need to find Owner’s Equity? But no assets given. |
Wait — this is confusing. Let’s look at Part B, which gives Assets and asks for the missing value.
So probably Part A is not standalone — maybe it's mislabeled.
But let’s assume Part A is asking us to compute the missing value in the equation using the given numbers.
But in Part A, only Liabilities and Owner’s Equity are listed. So unless Assets are implied, we cannot proceed.
Wait — looking closely, Part A has two columns: Liabilities and Owner’s Equity. But no Assets. So likely, Part A is incomplete or misplaced.
But then Part B gives full equations with Assets = Liabilities + Owner’s Equity.
So let’s skip Part A for now and go to Part B, which is clearer.
---
B. Complete the accounting equation
Use:
Assets = Liabilities + Owner’s Equity
#### Case 1
- Assets = 400,000
- Liabilities = ?
- Owner’s Equity = 210,000
So:
> Liabilities = Assets – Owner’s Equity = 400,000 – 210,000 = 190,000
✔ Answer: 190,000
#### Case 2
- Assets = ?
- Liabilities = 195,500
- Owner’s Equity = 85,000
> Assets = 195,500 + 85,000 = 280,500
✔ Answer: 280,500
#### Case 3
- Assets = 510,000
- Liabilities = 167,500
- Owner’s Equity = ?
> Owner’s Equity = 510,000 – 167,500 = 342,500
✔ Answer: 342,500
#### Case 4
- Assets = ?
- Liabilities = 310,500
- Owner’s Equity = ?
Wait — both missing! But we have no other info.
Wait — check: In Part C, we see that Case 4 has:
- Assets = 85,000
- Liabilities = ?
- Owner’s Equity = ?
But here in Part B, Case 4 says:
> Assets = ?
> Liabilities = 310,500
> Owner’s Equity = 195,600
Wait — that contradicts Part C.
Let’s re-check the original image.
Ah — likely, each case is independent. So we must treat each row separately.
In Part B, Case 4:
- Assets = ?
- Liabilities = 310,500
- Owner’s Equity = 195,600
So:
> Assets = 310,500 + 195,600 = 506,100
✔ Answer: 506,100
#### Case 5
- Assets = 325,300
- Liabilities = 165,300
- Owner’s Equity = ?
> Owner’s Equity = 325,300 – 165,300 = 160,000
✔ Answer: 160,000
---
B Summary Answers:
| Case | Assets | Liabilities | Owner’s Equity |
|------|--------------|---------------|----------------|
| 1 | 400,000 | 190,000 | 210,000 |
| 2 | 280,500 | 195,500 | 85,000 |
| 3 | 510,000 | 167,500 | 342,500 |
| 4 | 506,100 | 310,500 | 195,600 |
| 5 | 325,300 | 165,300 | 160,000 |
---
C. Compute missing values using percentages
Now, Part C gives percentages and some values.
We use:
> Assets = Liabilities + Owner’s Equity
And percentages are given for Liabilities or Owner’s Equity relative to Assets.
#### Case 1
- Assets = 60,000
- Liabilities = 40,000
- Owner’s Equity = ?
> Owner’s Equity = 60,000 – 40,000 = 20,000
✔ Answer: 20,000
#### Case 2
- Assets = 45,000
- Liabilities = ?
- Owner’s Equity = 30% of total assets?
Wait — it says: "Owner’s Equity" is 30% — so:
> Owner’s Equity = 30% × 45,000 = 0.30 × 45,000 = 13,500
Then:
> Liabilities = Assets – Owner’s Equity = 45,000 – 13,500 = 31,500
✔ Answer: 31,500
#### Case 3
- Assets = ?
- Liabilities = 40% of assets
- Owner’s Equity = 45,000
Let Assets = X
Then:
> Liabilities = 0.40X
> Owner’s Equity = 45,000
Equation:
> X = 0.40X + 45,000
> X – 0.40X = 45,000
> 0.60X = 45,000
> X = 45,000 / 0.60 = 75,000
So:
- Assets = 75,000
- Liabilities = 0.40 × 75,000 = 30,000
✔ Answer: 75,000
#### Case 4
- Assets = 85,000
- Liabilities = ?
- Owner’s Equity = 75% of assets?
Yes — "Owner’s Equity" is 75%, so:
> Owner’s Equity = 75% × 85,000 = 0.75 × 85,000 = 63,750
Then:
> Liabilities = 85,000 – 63,750 = 21,250
✔ Answer: 21,250
#### Case 5
- Assets = ?
- Liabilities = 35,000
- Owner’s Equity = 35% of assets?
Wait — it says: "Owner’s Equity" is 35% — so:
Let Assets = X
Then:
> Owner’s Equity = 0.35X
> Liabilities = 35,000
So:
> X = 0.35X + 35,000
> X – 0.35X = 35,000
> 0.65X = 35,000
> X = 35,000 / 0.65 ≈ 53,846.15
So:
- Assets ≈ 53,846.15
- Owner’s Equity = 0.35 × 53,846.15 ≈ 18,846.15
But wait — the question asks for Owner’s Equity? Or Assets?
Look: It says:
> Owner’s Equity = 35%
> Liabilities = 35,000
> Find: Owner’s Equity? Or Assets?
The blank is under Owner’s Equity, so we need to find Owner’s Equity.
But we don’t have assets — but we do have liabilities and percentage.
Wait — the table shows:
| Case | Assets | Liabilities | Owner’s Equity |
|------|--------|-------------|----------------|
| 5 | ? | 35,000 | 35% |
So Owner’s Equity is 35% of Assets, and Liabilities = 35,000.
Let Assets = X
Then:
> Owner’s Equity = 0.35X
> Liabilities = 35,000
So:
> X = 0.35X + 35,000
> 0.65X = 35,000
> X = 35,000 / 0.65 ≈ 53,846.15
Then:
> Owner’s Equity = 0.35 × 53,846.15 ≈ 18,846.15
But since the question says “Owner’s Equity” is 35%, and we’re to fill in the value, it should be:
✔ 18,846.15 (approx)
But likely, we should round to nearest peso.
So: 18,846
Alternatively, maybe it's 35% of total equity, but no — it's labeled as Owner’s Equity = 35%, meaning 35% of assets.
So answer: 18,846
But let's confirm:
Assets = 53,846.15
Liabilities = 35,000
Owner’s Equity = 18,846.15
Check: 35,000 + 18,846.15 = 53,846.15 ✔
So yes.
✔ Owner’s Equity = 18,846
---
C Summary Answers:
| Case | Assets | Liabilities | Owner’s Equity |
|------|--------------|---------------|----------------|
| 1 | 60,000 | 40,000 | 20,000 |
| 2 | 45,000 | 31,500 | 13,500 |
| 3 | 75,000 | 30,000 | 45,000 |
| 4 | 85,000 | 21,250 | 63,750 |
| 5 | 53,846 | 35,000 | 18,846 |
---
D. Computation of Unknown Accounting Values
#### a. Jade
- Obligation (Liabilities) = P450,000
- Total Assets = P950,000
- Find: Owner’s Equity
> Owner’s Equity = Assets – Liabilities = 950,000 – 450,000 = P500,000
✔ P500,000
#### b. Bernabe
- Owner’s Equity = P375,000
- Assets = P1,050,000
- Find: Liabilities
> Liabilities = Assets – Owner’s Equity = 1,050,000 – 375,000 = P675,000
✔ P675,000
#### c. Luz
- Owner’s Equity = P750,000
- Financial obligation (Liabilities) = P325,000
- Find: Total Assets
> Assets = Liabilities + Owner’s Equity = 325,000 + 750,000 = P1,075,000
✔ P1,075,000
#### d. ABC Company
- Total Assets = P970,000
- Total Liabilities = P495,000
- Find: Owner’s Equity
> Owner’s Equity = 970,000 – 495,000 = P475,000
✔ P475,000
#### e. Erlinda
- Initial capital = P250,000 (this is initial owner’s equity)
- At end of year:
- Creditor’s claim = P100,000 → Liabilities
- Owner’s equity = 75% of total assets
- Find: Total assets
Let Total Assets = X
Then:
> Owner’s Equity = 75% of X = 0.75X
> Liabilities = 100,000
But also:
> Assets = Liabilities + Owner’s Equity
> X = 100,000 + 0.75X
> X – 0.75X = 100,000
> 0.25X = 100,000
> X = 100,000 / 0.25 = 400,000
So:
- Total Assets = P400,000
✔ P400,000
#### f. Firm
- Total Assets = P350,000
- Owner’s Equity = 35%
- Find: Total creditor’s claim (Liabilities)
> Owner’s Equity = 35% × 350,000 = 0.35 × 350,000 = 122,500
> Liabilities = Assets – Owner’s Equity = 350,000 – 122,500 = 227,500
✔ P227,500
---
✔ Final Answers for D:
| Item | Answer |
|------|--------|
| a. | P500,000 |
| b. | P675,000 |
| c. | P1,075,000 |
| d. | P475,000 |
| e. | P400,000 |
| f. | P227,500 |
---
📌 Summary of All Answers
#### B.
- Case 1: Liabilities = 190,000
- Case 2: Assets = 280,500
- Case 3: Owner’s Equity = 342,500
- Case 4: Assets = 506,100
- Case 5: Owner’s Equity = 160,000
#### C.
- Case 1: Owner’s Equity = 20,000
- Case 2: Liabilities = 31,500
- Case 3: Assets = 75,000
- Case 4: Liabilities = 21,250
- Case 5: Owner’s Equity = 18,846
#### D.
- a. P500,000
- b. P675,000
- c. P1,075,000
- d. P475,000
- e. P400,000
- f. P227,500
Let me know if you'd like this formatted neatly for printing or submission.
Parent Tip: Review the logic above to help your child master the concept of accounting equation worksheet.