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.
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.
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.
3 answers
Turkey weight: 1.5 kg * 2.2 pounds/kg = 3.3 pounds
Beef weight: 1.25 kg * 2.2 pounds/kg = 2.75 pounds
Next, we can compare the weights of the turkey and cheese in pounds:
Turkey weight: 3.3 pounds
Cheese weight: 2.25 pounds
The turkey weighs more than the cheese.
For the weight of the chicken, it is between the beef and the turkey. Therefore, it could weigh anywhere between 2.75 pounds (the weight of the beef) and 3.3 pounds (the weight of the turkey).
To determine the total weight of all four sandwich fillings, we need to convert the weights of the turkey, beef, cheese, and chicken (which we just calculated) to ounces and grams.
Turkey weight in ounces: 3.3 pounds * 16 ounces/pound = 52.8 ounces
Beef weight in ounces: 2.75 pounds * 16 ounces/pound = 44 ounces
Cheese weight in ounces: 2.25 pounds * 16 ounces/pound = 36 ounces
Turkey weight in grams: 3.3 pounds * 454 grams/pound = 1498.2 grams
Beef weight in grams: 2.75 pounds * 454 grams/pound = 1247 grams
Cheese weight in grams: 2.25 pounds * 454 grams/pound = 1021.5 grams
The total weight in ounces is 52.8 ounces + 44 ounces + 36 ounces + the weight of the chicken.
The total weight in grams is 1498.2 grams + 1247 grams + 1021.5 grams + the weight of the chicken.
Comparing the conversion ratios, 16 ounces is greater than 1 kilogram and 1,000 grams is less than 1 kilogram. Therefore, the total weight of the sandwich fillings will be a greater number of ounces than kilograms.