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newSchoolWorks.com › VoTechWorks › Hospitality, Food & Tourism › Bartending & Beverage › Bar Costing: Recipe Pricing, Inventory & Profit Control › Lesson 1
HOS-BART30-05 · Lesson 1 · 7 clock hours · theory

Bar Math Foundations: Units, Conversions & the Cost Formula

Objective. Students will convert between bartending units of measure (ounces, liters, fifths, kegs, cases) and apply the ingredient-cost formula (cost per ounce × ounces used = ingredient cost) to at least five different beverage types with 90% accuracy.

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by a certified food-safety manager and industry professional or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.

VoTechWorks program approval and accreditation are still in progress. Credentials are issued only by the certifying bodies named in each program, after their own exams.

Why Bar Math Matters

Every drink you build has a cost before it earns a dime. Bartenders who understand unit conversions and ingredient costing protect the bar's profitability and their own professional credibility. A pour that is even a quarter-ounce too generous, multiplied across hundreds of tickets a night, can wipe out the margin on an entire product. This lesson gives you the numerical foundation you will use every time you price a recipe, count inventory, or evaluate a new product.

The Language of Liquid Measure

Bar math lives in two measurement systems at once: the US customary system (ounces, gallons) and the metric system (milliliters, liters). Spirits and wine are sold in metric bottle sizes; draft beer is sold in US gallons; recipes are written in fluid ounces. You must move fluently between all three.

Key equivalencies to memorize:

When in doubt, always convert everything to fluid ounces first. It is the common currency of bar costing.

Standard Pour Sizes

Before you can price a drink, you need to know how much of each ingredient goes into it. Industry references such as The Bar and Beverage Book by Katsigris and Thomas describe commonly accepted pour sizes that most operations adopt as a baseline:

Your specific employer sets the house pour. Always use the actual house pour size in your calculations, not an assumed one.

The Ingredient-Cost Formula

The core formula of bar costing is straightforward:

Ingredient Cost = Cost per Ounce × Ounces Used

To find cost per ounce, divide the bottle price by the number of fluid ounces in that bottle:

Cost per Ounce = Bottle Price ÷ Fluid Ounces per Bottle

For a multi-ingredient drink, calculate ingredient cost for each component separately, then add them together to get the total recipe cost.

Example at a Glance

If a 750 mL bottle of well vodka costs $12.00 from the distributor:

You will practice this formula with spirits, mixers, wine, draft beer, and kegged product in the pair-practice activity.

Applying the Formula to Different Beverage Types

Spirits: Use bottle price and bottle volume in mL, convert to fl oz, then apply the formula.

Mixers (bottled juice, soda syrups, etc.): Treat exactly like spirits — price per container divided by fl oz per container equals cost per fl oz.

Draft Beer (keg): Divide the keg price by total fl oz in the keg to get cost per fl oz, then multiply by the pour size. Remember to account for normal foam/spillage loss; a widely used rule of thumb in the industry is to assume roughly 80–85% of keg volume is actually sellable, though your operation may set its own yield figure.

Bottled Beer: Price per bottle divided by fl oz per bottle.

Wine by the Glass: Case cost divided by number of bottles per case (usually 12), then divided by fl oz per bottle, then multiplied by pour size.

Reading an Invoice

Distributor invoices list the item name, pack size (e.g., "12/750 mL" means 12 bottles of 750 mL), unit price (per bottle), and case price. Always confirm which price you are using. A common error is accidentally using the case price when you need the per-bottle price, which overstates costs by a factor of 12.

Safety and Accuracy Reminders

Bar math is not only a profit tool — it directly supports responsible alcohol service. Accurate pour measurement is a key control in programs like TIPS and ServSafe Alcohol because over-pouring accelerates guest intoxication and increases liability. Use calibrated jiggers, not free-pouring, when precision matters. When handling cleaning chemicals used in bar equipment maintenance, follow all Safety Data Sheet (SDS) guidance and wear appropriate PPE; never mix chemicals, and store them away from food and beverage products.

Double-check every arithmetic step. A misplaced decimal point — for example, writing $0.047 instead of $0.47 — will corrupt every downstream decision based on that number.

Key terms8

Fluid ounce (fl oz)The standard US unit of liquid volume used in bar recipes and costing; 1 fl oz ≈ 29.57 mL.
Cost per ounceThe purchase price of a bottle or container divided by the number of fluid ounces it contains; the base rate used in ingredient costing.
Ingredient costThe dollar amount a bar spends on the actual product poured into a single drink, calculated as cost per ounce multiplied by ounces used.
Fifth (750 mL bottle)The standard retail and wholesale spirit bottle size; approximately 25.36 fl oz. Historically called a 'fifth' because it was approximately one-fifth of a US gallon.
Handle (1.75 L bottle)A large-format spirit bottle containing 1,750 mL, approximately 59.18 fl oz; commonly purchased for high-volume well products.
Half-barrel kegThe most common keg size in the US, holding 15.5 gallons (1,984 fl oz) of draft beer.
Pour sizeThe standardized volume of a specific ingredient used in a single serving, set by house policy; the ounces-used figure in the ingredient-cost formula.
Recipe costThe sum of individual ingredient costs for all components in a single drink; obtained by adding each ingredient's (cost per oz × oz used) line together.

Worked examples4

1. A 750 mL bottle of well whiskey is invoiced at $14.00. The house pour is 1.5 fl oz. What is the ingredient cost for one pour?
  1. Step 1 — Convert bottle size to fl oz: 750 mL ÷ 29.57 mL per fl oz = 25.36 fl oz.
  2. Step 2 — Find cost per fl oz: $14.00 ÷ 25.36 fl oz = $0.5520 per fl oz (rounded to 4 decimal places).
  3. Step 3 — Apply the ingredient-cost formula: $0.5520 × 1.5 fl oz = $0.828.
  4. Step 4 — Round to the nearest cent: $0.83.
Answer: Ingredient cost = $0.83 per 1.5 fl oz pour.
2. A half-barrel keg of domestic lager costs $95.00. The bar pours 16 fl oz pints and estimates 82% of the keg is sellable yield. What is the ingredient cost per pint?
  1. Step 1 — Find total fl oz in a half-barrel keg: 15.5 gallons × 128 fl oz per gallon = 1,984 fl oz.
  2. Step 2 — Apply yield factor for sellable volume: 1,984 fl oz × 0.82 = 1,626.88 fl oz sellable.
  3. Step 3 — Find cost per fl oz: $95.00 ÷ 1,626.88 fl oz = $0.05838 per fl oz.
  4. Step 4 — Multiply by pint size: $0.05838 × 16 fl oz = $0.9341.
  5. Step 5 — Round to the nearest cent: $0.93.
Answer: Ingredient cost = $0.93 per 16 fl oz pint.
3. A bar builds a simple mixed drink with 1.5 fl oz of rum (from a $16.00 / 750 mL bottle) and 4 fl oz of pineapple juice (from a 46 fl oz can costing $2.30). What is the total recipe cost?
  1. Step 1 — Rum: convert bottle to fl oz: 750 ÷ 29.57 = 25.36 fl oz.
  2. Step 2 — Rum cost per fl oz: $16.00 ÷ 25.36 = $0.6309 per fl oz.
  3. Step 3 — Rum ingredient cost: $0.6309 × 1.5 = $0.9464 ≈ $0.95.
  4. Step 4 — Pineapple juice cost per fl oz: $2.30 ÷ 46 fl oz = $0.0500 per fl oz.
  5. Step 5 — Juice ingredient cost: $0.0500 × 4 fl oz = $0.20.
  6. Step 6 — Total recipe cost: $0.95 + $0.20 = $1.15.
Answer: Total recipe cost = $1.15.
4. A restaurant buys wine by the case: 12 bottles of 750 mL Pinot Grigio at $7.50 per bottle. The house pours 5 fl oz per glass. What is the ingredient cost per glass?
  1. Step 1 — Convert bottle to fl oz: 750 mL ÷ 29.57 = 25.36 fl oz per bottle.
  2. Step 2 — Cost per fl oz (use per-bottle price, not case price): $7.50 ÷ 25.36 fl oz = $0.2957 per fl oz.
  3. Step 3 — Ingredient cost per 5 fl oz glass: $0.2957 × 5 = $1.4785 ≈ $1.48.
Answer: Ingredient cost = $1.48 per 5 fl oz glass.

The math in this lesson2

Learners divide $14.00 bottle cost by fluid ounces for a unit cost per ounce.
6.RP.2N-Q.1
Brush up in the math halls at newSchoolWorks.com:
In class: Unit-conversion drill sheet: students convert a list of 20 quantities among fluid ounces, milliliters, liters, gallons, and standard bottle sizes (750 mL, 1 L, 1.75 L), checking answers against an answer key. · Instructor-led worked example: breaking down the actual invoice price of a well whiskey into cost per ounce, then building a two-ingredient recipe cost line by line on the whiteboard. · Pair practice: each pair receives three mock invoices (a spirit, a mixer, and a draft beer keg) and calculates cost per serving for a specified pour size, then compares results with another pair and resolves discrepancies.
Materials: Printed unit-conversion reference card, calculator, sample bar invoices (instructor-prepared), whiteboard, pencil-and-paper drill sheets, HVAC text: 'Bar and Beverage Book' (Costas Katsigris & Chris Thomas) as reference for standard pour sizes.
Check: Completion of the drill sheet with ≥18/20 conversions correct and both pair-practice recipe costs within $0.02 of the instructor's answer key; students who miss the mark redo the activity with instructor coaching before advancing.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

Bar Costing & Inventory
1. How many fluid ounces are in a standard 750 mL spirit bottle?
Bar Costing & Inventory
2. A bartender needs to find the cost per ounce of a spirit. Which formula is correct?
Bar Costing & Inventory
3. A 1.75 L bottle of vodka costs $22.00. Approximately how many fluid ounces does it contain?
Bar Costing & Inventory
4. A well rum bottle (750 mL) costs $11.00. The house pour is 1.25 fl oz. What is the ingredient cost per pour, rounded to the nearest cent?
Bar Costing & Inventory
5. A half-barrel keg holds 15.5 US gallons. How many fluid ounces is that?
Bar Costing & Inventory
6. Why is it important to use the per-bottle price — rather than the case price — when calculating cost per ounce for a single bottle of wine?
Responsible Alcohol Service
7. In the context of responsible alcohol service (TIPS/ServSafe Alcohol), why does precise pour measurement matter beyond just controlling costs?
Bar Costing & Inventory
8. A bar builds a two-ingredient cocktail: 1.5 fl oz of tequila (cost per fl oz = $0.72) and 3 fl oz of a house-made sour mix (cost per fl oz = $0.08). What is the total recipe cost?
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