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Money · Guided lesson

Compare equal and weighted contributions

About 9 minutes · 3 reading + 6 practice and checks
Time includes reading, practice, and questions. Extra videos or further study are optional.
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A fictional shared-cost agreement and balanced settlement ledger with equal/weighted splits, individual exclusions and departure reconciliation.

Keep your working files in your own notebook or software. Save a private description, checklist, and work link in My Proof.

What to include

  • A shared/personal expense register with explicit participants.
  • An equal/weighted contribution comparison and rule record.
  • A sum-zero shared-expense settlement ledger.
  • A two-transfer settlement plan and post-settlement balance check.
  • A refund/departure adjustment log with revised settlement balances.
  • A complete fictional shared-finance agreement and audit record.

Review and revise

Use these criteria to check your work and choose what to improve.

  • All supplied records reconcile and the decision uses the named case rules.
  • Calculations show units, intermediate values and a second check.
  • Changed-input practice revises the affected result and identifies uncertainty.
  • The final project combines six lesson records, separates fictional assumptions from current rules, and states a supported next step.
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Before you begin

The idea in everyday life

This is an original fictional practice case. No account, payment, personal record or outside participation is required. Two fictional adults agree rent $900 split by incomes $2,000 and $1,000; groceries $300 split equally.

The idea

Fairness is an agreed rule, not a mathematical claim that one allocation is universally right.

Follow along

Compare equal and weighted contributions — worked practice

Fairness is an agreed rule, not a mathematical claim that one allocation is universally right.

Use paper or a local table; label all amounts as fictional USD unless the case names another unit. Two fictional adults agree rent $900 split by incomes $2,000 and $1,000; groceries $300 split equally.

Agreed participant weights

Paste at A1.

APersonBMonthly income weight USDCRent allocation ruleDGrocery allocation rule
A2000Income weightedEqual
B1000Income weightedEqual

Copy as plain text

Shared expense totals

Paste at A5.

AExpenseBUSD
Rent900
Groceries300

Copy as plain text
  1. 1. Step 1: Compute the income weights for rent

    Compute the income weights for rent.

    You should see: Two-thirds and one-third.

    Fairness is an agreed rule, not a mathematical claim that one allocation is universally right.

  2. 2. Step 2: Allocate rent using those weights

    Allocate rent using those weights.

    You should see: A $600; B $300.

    Keep this intermediate result so the final decision can be checked.

  3. 3. Step 3: Add equal groceries

    Add equal groceries.

    You should see: Each owes $150 groceries.

    Keep this intermediate result so the final decision can be checked.

  4. 4. Step 4: Compare combined obligations and an equal alternative

    Compare combined obligations and an equal alternative.

    You should see: Weighted agreement A $750/B $450; a fully equal $1,200 split would be $600 each.

    Keep this intermediate result so the final decision can be checked.

Now change one thing

Rent becomes $1,200 with the same weights and $300 groceries. A’s combined obligation?

Your work

What to finish

An equal/weighted contribution comparison and rule record.

Common mistake

Watch for this

Applying the rent weighting to every category without consent.

How can I tell I understand it?

Calculate category-specific equal and weighted contributions under an explicit agreement on the supplied changed case while preserving the stated rule and checking the final record.

Try 3 questions

Quick knowledge check

Answer all 3 questions. Get at least 2 right and the lesson completes automatically.

Not yet passed

You’ll get an explanation for each answer. Signed in? Your results save to your account.

1Income weights 3:1 split $800 rent: larger share?
2Which choice makes the split defensible?
3Only rent is weighted and groceries are equal. What is wrong with weighting everything?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
2
Finish this lesson

Pass the check. We’ll save the progress.

Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.

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Tools, templates, and lesson sources

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Sources and further reading

Explore the references behind this lesson.

CFPB — Bank accounts
Source & access notes · checked 2026-10-01

Official page opened/read during Money expansion authoring; checked the relevant concept and access state. These sources do not establish funding eligibility.

Access: Readable official webpage inspected with the web reader on 2026-10-01. No interactive-tool operation is claimed.

Reuse: Original fictional practice, questions and calculations; paraphrased concepts with a source link. No source exercise copied.

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