Find the check digit a can of pork and beans 0 43000 01742 c
Find the check digit. a can of pork and beans
0 43000 01742 c
c=
Solution
Modifying a Recipe Let’s examine a recipe for the ingredients of Beef Stroganoff. The procedure for preparing the ingredients looks like something you could make. If you want to make the dish for a group of 15 people and have the same taste, texture, aroma, and appearance of the dish for 6 people, you need to use a proportional amount of each ingredient. By doing this you should have enough for the 15 people without much leftover. We can find these amounts by setting up and solving proportions. The basic proportion we will set up equates the ratio of 6 people to 15 people and the amounts in the original recipe to the unknown amounts in the modified recipe designated by x. Beef Stroganoff 1 1/2 lb round steak 1/2 lb sliced mushrooms 12 fl oz sour cream 4 fl oz white wine 2 tbsp chopped onion 1 1/2 tsp nutmeg 2 tsp minced garlic 8 cups cooked pasta salt, pepper to taste (Serves 6 people.) page 144 The Mathematical Collage Math and Cooking round steak: mushrooms: sour cream: white wine: 6 15 1 6 22 5 3 75 1 2 = = = x x x . . lb 6 15 6 7 5 1 25 1 2 = = = x x x . . lb 6 15 12 6 180 30 = = = x x x fl oz 6 15 4 6 60 10 = = = x x x fl oz chopped onion: nutmeg: minced garlic: pasta: 6 15 2 6 30 5 = = = x x x tbsp 6 15 1 6 22 5 3 75 1 2 = = = x x x . . tsp 6 15 2 6 30 5 = = = x x x tsp 6 15 8 6 120 20 = = = x x x cups If you wanted to make beef stroganoff for only two people, you would use the ratio of 6 to 2 instead of 6 to 15 in the previous computation. The recipe could be modified to serve any number of people by setting up and solving the appropriate proportions. Adjusting Roasting Time Math can also be used to find the cooking time for various kinds of meats. A roast of a certain weight can be cooked to achieve a desired level such as rare, medium, or well done. The chart below gives suggested cooking times for beef, pork, lamb, and chicken roasts weighing over 2.5 pounds. Degree of cooking Minutes per pound Oven Temperature Chicken 20min/lb + 20 min 350 F Beef Rare Medium Well Done 20min/lb + 20 min 25min/lb + 20 min 30min/lb + 30 min 350 F Pork Medium Well Done 30min/lb + 30 min 35min/lb + 35 min 350 F Lamb Medium Well Done 25min/lb + 25 min 30min/lb + 30 min 350 F (Source: Graig Farm Organics: www.graigfarm.co.uk) Example 1 A roasted chicken should be served well done. How long will it take to cook a 7.5 lb hen? Solution: Determine the actual cooking time using the above chart. Cooking time: 7.5 × 20 + 20 = 150 + 20 = 170 min = 2 hours 50 minutes
