BAF3M-U2-L01 · BAF3M
Accounts and the basic equation
Learning goals
- Classify accounts as assets, liabilities, or owner's equity.
- Use
Assets = Liabilities + Owner's Equityto analyse financing. - Show the dual effect of a transaction without relying on debit and credit yet.
- Check that a transaction keeps the equation equal.
Prerequisite check
Classify each item as something the business has, something it owes, or an owner's claim: cash, supplier bill not yet paid, equipment, owner's contribution.
Vocabulary
- Account: a record that collects increases, decreases, and the balance for one item.
- Asset: a present economic resource controlled by the business because of past events.
- Liability: a present obligation of the business arising from past events.
- Owner's equity: the owner's residual interest in assets after liabilities.
- Accounts receivable: amounts customers owe the business.
- Accounts payable: amounts the business owes suppliers for credit purchases.
- Accounting equation:
Assets = Liabilities + Owner's Equity.
Core idea
Every asset has a financing source: a creditor's claim or the owner's residual claim. That relationship is why the equation must stay equal. Equality is a structure, not proof that every account choice is correct.
Why this treatment makes sense
If a business controls $25,000 of assets and owes creditors $7,000, the owner's residual claim is $18,000. Rearranging gives Owner's Equity = Assets − Liabilities. Buying one asset with another changes the mix of assets but not total financing.
A repeatable method
For each transaction:
- Name only the business accounts affected.
- Classify each as asset, liability, or equity.
- Decide whether each increases or decreases.
- Enter signed changes in the equation.
- Recalculate both sides and ask whether the result fits the story.
Worked example
Fresh Start Media begins with four transactions.
| Transaction | Asset effect | Liability effect | Equity effect |
|---|---|---|---|
| Owner invests $18,000 cash | Cash +$18,000 | — | Capital +$18,000 |
| Buy equipment for $4,800 cash | Cash −$4,800; Equipment +$4,800 | — | — |
| Buy supplies on account for $1,250 | Supplies +$1,250 | Accounts Payable +$1,250 | — |
| Borrow $6,000 from the bank | Cash +$6,000 | Bank Loan +$6,000 | — |
Ending assets:
- Cash: $18,000 − $4,800 + $6,000 = $19,200
- Equipment: $4,800
- Supplies: $1,250
- Total assets: $25,250
Ending liabilities are $1,250 + $6,000 = $7,250. Owner's equity is $18,000.
Check: $25,250 = $7,250 + $18,000. The equipment purchase did not create an expense in this introductory transaction because the business exchanged cash for an asset that will help in future periods.
Journal, ledger, and statement connection
Equation analysis decides the accounts before journal form decides debit and credit. After journalizing and posting, asset, liability, and capital ledger balances appear on the balance sheet. If the analysis is wrong, neat journal form will preserve the wrong idea.
Common mistakes
- Calling a bank loan revenue. It creates a liability.
- Calling an owner contribution revenue. It creates capital.
- Recording the full equipment purchase as an immediate expense when the problem identifies a future-use asset.
- Forgetting the payable when an asset is bought “on account.”
- Assuming equal totals mean correct account names.
Guided practice
Start from zero for Riverbend Window Cleaning.
- The owner invests $10,000 cash.
- The business buys $2,600 of equipment, paying $1,000 cash and owing the rest.
- The business pays $600 of the supplier balance.
Show each equation effect and the ending totals.
Independent practice
Cloudberry Tech Support starts with $14,000 owner cash, borrows $5,000, buys equipment for $7,200 cash, and buys $900 of supplies on account.
- Find ending Cash, Equipment, Supplies, Accounts Payable, Bank Loan, and Capital.
- Prove the equation.
- Explain why borrowing and owner investment both increase cash but affect different claims.
Self-check and solutions
Guided practice:
- Cash +$10,000; Capital +$10,000.
- Equipment +$2,600; Cash −$1,000; Accounts Payable +$1,600.
- Cash −$600; Accounts Payable −$600.
Ending assets: Cash $8,400 + Equipment $2,600 = $11,000. Liabilities: Accounts Payable $1,000. Equity: Capital $10,000. Check: $11,000 = $1,000 + $10,000.
Independent practice:
- Cash = $14,000 + $5,000 − $7,200 = $11,800
- Equipment = $7,200; Supplies = $900
- Accounts Payable = $900; Bank Loan = $5,000; Capital = $14,000
- Assets $19,900 = Liabilities $5,900 + Equity $14,000.
The bank's cash creates a creditor claim; the owner's cash creates the owner's residual claim.
Retrieval practice
Write the equation three ways to solve for assets, liabilities, and owner's equity. Then classify Cash, Accounts Receivable, Accounts Payable, Equipment, Bank Loan, and Capital.
Exam-style application
A business reports assets of $43,700 and owner's equity of $29,200. It then pays $3,000 of accounts payable. Find liabilities before and after payment and total assets after payment.
Answer outline: Initial liabilities = $43,700 − $29,200 = $14,500. Payment reduces Cash and Accounts Payable by $3,000. Ending liabilities = $11,500; ending assets = $40,700; equity remains $29,200. Check: $40,700 = $11,500 + $29,200.
Lesson summary
Assets are financed by liabilities and owner's equity. Analyse the real accounts and directions first, then prove that both sides of the equation still agree.