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.
To compare the quantities of turkey and cheese, we need to convert the units to the same measurement. Given that 1 kilogram is about 2.2 pounds, we can use this conversion ratio to convert the quantities.
First, let's convert the turkey from kilograms to pounds:
1.5 kilograms of turkey = 1.5 * 2.2 pounds = 3.3 pounds of turkey
Now, let's compare the quantities of turkey and cheese in pounds:
3.3 pounds of turkey vs 2.25 pounds of cheese
Since 3.3 pounds of turkey is greater than 2.25 pounds of cheese, Roger purchased more turkey than cheese.
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 determine the possible weight of the chicken, we need to compare it to the weights of the beef and turkey.
We know that the beef weighs 1.25 kilograms, which we previously converted to 2.75 pounds using the conversion ratio of 1 kilogram = about 2.2 pounds.
To find the maximum weight of the chicken (which is less than the turkey), we subtract the weight of the beef from the weight of the turkey.
Turkey weight in pounds: 1.5 kilograms * 2.2 pounds/kilogram = 3.3 pounds
Maximum chicken weight = 3.3 pounds - 2.75 pounds = 0.55 pounds
Therefore, the chicken could weigh up to 0.55 pounds.
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
To determine whether the total weight of the sandwich fillings will be a greater number of ounces or kilograms, we need to convert the weights to the same unit of measurement. Given that 16 ounces equal 1 pound and 1,000 grams equal 1 kilogram, we can use these conversion ratios to convert the weights.
First, let's convert the weights to ounces:
- Turkey weight: 1.5 kilograms * 1000 grams/kilogram * 0.03527396 ounces/gram ≈ 52.91 ounces
- Beef weight: 1.25 kilograms * 1000 grams/kilogram * 0.03527396 ounces/gram ≈ 44.09 ounces
- Cheese weight: 2.25 pounds * 16 ounces/pound ≈ 36 ounces
- Chicken weight (maximum): 0.55 pounds * 16 ounces/pound ≈ 8.8 ounces
Now, let's calculate the total weight in ounces: 52.91 ounces + 44.09 ounces + 36 ounces + 8.8 ounces = 141.8 ounces
Next, let's convert the weights to kilograms:
- Turkey weight: 1.5 kilograms
- Beef weight: 1.25 kilograms
- Cheese weight: 2.25 pounds * 0.45359237 kilograms/pound ≈ 1.02 kilograms
- Chicken weight (maximum): 0.55 pounds * 0.45359237 kilograms/pound ≈ 0.25 kilograms
Now, let's calculate the total weight in kilograms: 1.5 kilograms + 1.25 kilograms + 1.02 kilograms + 0.25 kilograms = 4.02 kilograms
Comparing the total weights, we find that the sandwich fillings weigh a greater number of kilograms (4.02 kilograms) than ounces (141.8 ounces).
Therefore, the total weight of the sandwich fillings will be a greater number of kilograms.
To determine whether Roger purchased more turkey or more cheese, we need to compare the weights of the turkey and cheese in the same unit. Since the given conversion ratio is 1 kilogram = about 2.2 pounds, we'll need to convert the weight of the turkey and cheese into the same unit.
Given:
- 1.5 kilograms of turkey
- 1.25 kilograms of beef
- 2.25 pounds of cheese
First, let's convert the weight of the turkey from kilograms to pounds using the conversion ratio:
1.5 kilograms of turkey * 2.2 pounds/kilogram = 3.3 pounds of turkey
Now that we have both weights in pounds, we can compare them:
3.3 pounds of turkey vs. 2.25 pounds of cheese
So, Roger purchased more turkey (3.3 pounds) than cheese (2.25 pounds).