Question

Calvin is making a special cocktail for 124 guests. Each cocktail calls for 0.5 fluid ounces of Becherovka, which is purchased in 750-milliliter bottles. Due to the nature of the event, Calvin expects that each guest will have approximately 6 cocktails. If Becherovka comes in 12 bottles to a case, and each case costs

$189.43, what is the beverage cost per guest?

Answer 1

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Answer:

$1.87 per guest for quantity used

$1.91 per guest for whole bottles used

$3.06 per guest for whole cases used

Explanation:

The cost of the beverage is ...

($189.43/case)(1 case/(12 bottles))(1 bottle/(750 mL)) = $0.02104777.../mL

Each guest consumes 6 cocktails of 0.5 floz each, so ...

(6 drinks/gues)(0.5 floz/drink)(29.5735295625 mL/floz) ≈ 88.7205 mL/guest

Then the cost per guest is ...

($0.02104777.../mL)(88.7205 mL/guest) ≈ $1.86737/guest

The cost per guest for the amount used is about $1.87.

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The total amount of drink used for all guests is ...

124(88.7205 mL/guest) ≈ 11,001.4 mL

At 750 mL per bottle, this is ...

(11,001.4 mL)/(750 mL/bottle) ≈ 14.7 bottles

If you're constrained to pay for 15 bottles, then the cost per guest is ...

$189.43(15/12)/124 = $1.91 per guest

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At 12 bottles per case, this is ...

(14.7 bottles)/(12 bottles/case) ≈ 1.2 cases

If you're constrained to pay for 2 cases, then the cost per guest is ...

$189.43(2)/124 = $3.06 per guest