Question 2
Roger also wants to make sandwiches for his guests. He buys the following
sandwich fillings:
• 1.5 kilograms of turkey
• 1.25 kilograms of beef
• 2.25 pounds of cheese
Roger wants to know if he purchased more turkey or more cheese. Use the
conversion ratio 1 kilogram = about 2.2 pounds to determine the correct answer. show your work in 3 sentences
To compare the amount of turkey and cheese, we need to convert the weight of turkey into pounds using the conversion ratio given. 1.5 kilograms of turkey is equal to 1.5kg * 2.2 pounds/kg = 3.3 pounds of turkey. Since 3.3 pounds of turkey is less than 2.25 pounds of cheese, Roger has purchased more cheese than turkey.
Roger discovers that he needs to buy some chicken as well. He buys an amount of
chicken that weighs more than the beef he bought and less than the turkey he
bought. Give an amount in pounds that the chicken could weigh, rounded to the nearest hundredth of a pound.
To solve this problem, we need to determine the range in which the weight of the chicken could fall between the weight of the beef and the weight of the turkey.
Given that the turkey weighs 3.3 pounds and the beef weighs 1.25 kilograms (which is equivalent to 1.25 kg * 2.2 pounds/kg = 2.75 pounds), the chicken should weigh between 2.75 pounds and 3.3 pounds.
Therefore, the weight of the chicken could be approximately 2.75 to 3.3 pounds, rounded to the nearest hundredth of a pound.
Roger is curious to know the total weight of all four sandwich fillings he bought. He
weighs it twice, once using ounces and once using grams. If 16 ounces = 1 pound
and 1,000 grams = 1 kilogram, will the total weight of the sandwich fillings be a
greater number of ounces or a greater number of kilograms? Explain your answer.
Weights:
1.5 kilograms of turkey
1.25 kilograms of beef
2.25 pounds of cheese
3.025 pounds of chicken
To determine whether the total weight of the sandwich fillings will be a greater number of ounces or kilograms, we need to compare the weight in ounces to the weight in kilograms.
To convert the given weights to ounces, we use the conversion ratio 16 ounces = 1 pound.
Weight of turkey: 1.5 kilograms * 2.2 pounds/kg * 16 ounces/pound = 52.8 ounces
Weight of beef: 1.25 kilograms * 2.2 pounds/kg * 16 ounces/pound = 44 ounces
Weight of cheese: 2.25 pounds * 16 ounces/pound = 36 ounces
Weight of chicken: 3.025 pounds * 16 ounces/pound = 48.4 ounces
The total weight in ounces is 52.8 ounces + 44 ounces + 36 ounces + 48.4 ounces = 181.2 ounces.
To convert the given weights to kilograms, we use the conversion ratio 1,000 grams = 1 kilogram.
Weight of turkey: 1.5 kilograms * 1,000 grams/kilogram = 1,500 grams
Weight of beef: 1.25 kilograms * 1,000 grams/kilogram = 1,250 grams
Weight of cheese: 2.25 pounds * 453.592 grams/pound = 1,021.83 grams
Weight of chicken: 3.025 pounds * 453.592 grams/pound = 1,371.25 grams
The total weight in kilograms is 1.5 kilograms + 1.25 kilograms + 1,021.83 grams/1,000 grams/kilogram + 1,371.25 grams/1,000 grams/kilogram = 5.14208 kilograms.
Comparing 181.2 ounces and 5.14208 kilograms, we can see that the total weight in kilograms is a greater number than the total weight in ounces.
To answer this question, we need to convert the weight of turkey and cheese into the same unit of measurement. We know that 1 kilogram is equal to about 2.2 pounds.
For the turkey, Roger purchased 1.5 kilograms. Converting this to pounds, we get 1.5 kg * 2.2 lbs/kg = 3.3 pounds of turkey.
For the cheese, Roger purchased 2.25 pounds. Since the weight is already in pounds, we can compare it directly. Therefore, he purchased more turkey (3.3 pounds) than cheese (2.25 pounds).