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Alligation Calculator

Math Calculators

Cross method for mixing ratios and weighted averages

Quick Answer

Alligation Calculator: Cross method for mixing ratios and weighted averages. Alligation Calculator uses standard math formulas to compute accurate results instantly.

Mode

High : Low ratio7 : 8
High share46.67%
Low share53.33%

Steps

  1. 1Cross method: high share = target − low, low share = high − target (inverse difference)
  2. 2High : Low = (12 − 5) : (20 − 12) = 7 : 8
  3. 3Simplified ratio = 7 : 8
  • Cross method: subtract diagonally — share of high = (target − low), share of low = (high − target). The bigger the gap, the smaller the share.
  • Works for any weighted average: solution mixing, alloy blending, blended interest rates, average speed of two legs, exam score averaging (civil-service aptitude tests).
  • Target concentration must lie between the two inputs; the weighted average can never fall outside [low, high].

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How to Use

  1. Enter values or expressions: type directly into the Alligation Calculator — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • Alligation Calculator is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Cross method for mixing ratios and weighted averages.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Alligation Calculator formula

Alligation Calculator uses standard math formulas to compute accurate results instantly.

FAQ

How do I use the Alligation Calculator?
Open the page and fill in the input fields — results update automatically. Cross method for mixing ratios and weighted averages.
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

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Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Alligation Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/alligation

Results provided by this tool are for reference only and do not constitute professional advice.