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Lesson 1a Homework: Conversions and Proportions in Cooking and Measuring, Study notes of Algebra

Conversions and Units in ChemistryMathematics for the SciencesNutrition and Food Science

Homework solutions for Lesson 1a, focusing on conversions and proportions in cooking and measuring. It covers various conversions between ounces, grams, cups, and pounds, as well as calculating the edible weight of bananas and determining the food cost as a percentage of the selling price.

What you will learn

  • What temperature is 920 degrees Fahrenheit in Celsius?
  • How many pounds of bananas must you buy to yield 45 pounds of banana meat with an EP% of 68%?
  • What conversion factor would you need to multiply each item in a recipe for 8 people to make it for 50 people?
  • What must your cost be to have a 37% food cost based on a selling price of $25 for an item?
  • How many rooms would a hotel with 210 rooms need to have occupied to have 72% occupancy?
  • What is the selling price of a chicken dinner that costs $15.00 and has a 37% food cost?

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

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desmond 🇺🇸

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Download Lesson 1a Homework: Conversions and Proportions in Cooking and Measuring and more Study notes Algebra in PDF only on Docsity! 1 Answers: Lesson 1a Homework DO NOT ROUND YOUR ANSWERS! 1. How many ounces are there in a normal bottle (750ml) of wine? Set up proportion………….. 1000 ml 750 ml = 33.8 oz X oz Cross products 1000(x) = 33.8 (750) 1000(x) = 25350 Rule of algebra. (Divide both sides by 1000 to isolate X 25.35 ounces. 2. How many ounces are there in a “pocket rocket” or airline bottle of 50ml? 1000 ml 50 ml = 33.8 oz X oz Cross products 1000(x) = 33.8 (50) 1000(x) = 16.90 Rule of algebra. (Divide both sides by 1000 to isolate X 1.69 ounces. 3. How many cups in a gallon? 16 Look at chart. Many different proportions you can set up to solve. 4. How many grams in an ounce? 2.2 pounds equals 35.2 oz I think some of you thought the (point) 2 was ounces? Don’t know- look at your work! 1 pound 2.2 pounds = 16 oz X oz Cross products 1(x) = 16(2.2) X = 35.2 2 1000 grams x grams = 35.2 oz 1 oz Cross products 1000(1) = 35.2 (x) 1000 = 35.2 (x) Rule of algebra. (Divide both sides by 35.2 to isolate X 28.40909091 = x 5. 5.25 kilograms equals how many pounds? See above Answer is 11.55 pounds 6. A recipe calls for 430 ml of white wine. How many cups would you need to use? 1000 ml 430ml = 33.8 oz X oz Cross products is 14534 = 1000(X) Rule of algebra – divide both sides by 1000 14.534 oz = X Now how many cups is this? Set up proportion…………….. 1 cup X cups = 8 oz 14.534 oz Cross products, isolate x,,,,,, 1.81675 cups. 7. If a bottle of wine costs you $7.00 how much each 7oz glass cost you? (Figure that if you have any “extra” it will be used for the next full glass.) Do not round your answer! 1000 ml 750 ml = 33.8 oz 1 oz We solved that there are 25.35 oz in this bottle. $7.00 X $ = 25.35oz 7 oz 7(7) = 25.35(X)
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