Sam is going to cook a turkeys for 14 people and he wants to allow 3/4lb of Turkey for each person. 1lb=450g. Small 2kg-3.9kg.medium 4kg-5.4 kg.larg 5.5kg-7.2kg.extra large 7.3kg-9.2kg.but small/medium £5.99perkg. Large/extra large £4.99perkg.now how much will the Turkey for 14 people cost?
depends on which size turkey she gets, no?
Probably she wants to minimize the cost, so she ought to use as many large turkeys as possible, without buying a whole extra large turkey unnecessarily.
So, how many servings can she get from the largest of each size turkey?
each lb of turkey makes 4/3 servings.
small: 3900/450 * 4/3 = 11.55
medium: 5400/450 * 4/3 = 16.00
so, she can serve all 14 people with a single medium turkey.
This problem would have been more interesting had there been, say, 200 people, making it necessary to purchase turkeys of each size.
To calculate the cost of the turkey for 14 people, we need to follow these steps:
Step 1: Determine the amount of turkey needed
Since Sam wants to allow 3/4 lb (0.75 lb) of turkey per person, we multiply this amount by the number of people (14).
0.75 lb/person * 14 people = 10.5 lb
Step 2: Convert pounds to kilograms
Since 1 lb is equal to 450g, we can convert the weight from pounds to kilograms by dividing the weight in pounds (10.5 lb) by 2.2046 (the conversion factor from pounds to kilograms).
10.5 lb / 2.2046 = 4.76 kg (rounded to two decimal places)
Step 3: Determine the price based on weight
Next, we need to determine the price per kilogram based on the weight range provided.
For a turkey weighing between 2 kg and 3.9 kg, the price is £5.99 per kg.
For a turkey weighing between 4 kg and 5.4 kg, the price is also £5.99 per kg.
For a turkey weighing between 5.5 kg and 7.2 kg, the price is £4.99 per kg.
For a turkey weighing between 7.3 kg and 9.2 kg, the price is also £4.99 per kg.
Since our calculated weight (4.76 kg) falls within the small/medium range (2 kg - 3.9 kg), the price per kg will be £5.99.
Step 4: Calculate the total cost
To calculate the total cost of the turkey, multiply the weight (4.76 kg) by the price per kilogram (£5.99).
Total cost = 4.76 kg * £5.99/kg
Total cost = £28.56
Therefore, the cost of the turkey for 14 people will be £28.56.