. 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. Show your work.
To determine the weight of the chicken, we need to compare it to the weights of the beef and turkey.
Let's assume the weight of the beef is x pounds and the weight of the turkey is y pounds.
Since the chicken weighs more than the beef, we can write the inequality:
Chicken weight > Beef weight
Chicken weight > x
Similarly, since the chicken weighs less than the turkey, we can write the inequality:
Chicken weight < Turkey weight
Chicken weight < y
Therefore, we can conclude that the weight of the chicken lies between x and y pounds.
To round to the nearest hundredth of a pound, we need to consider two values: one rounded down to the nearest hundredth and one rounded up to the nearest hundredth.
The weight of the chicken can be approximately x pounds if rounded down to the nearest hundredth, and it can be approximately y pounds if rounded up to the nearest hundredth.
Therefore, the weight of the chicken could be between x and y 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 the fillings 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 grams?
Explain your answer.
To determine whether the total weight of the sandwich fillings will be a greater number of ounces or grams, we need to compare the conversion rates between the two.
Given that 16 ounces = 1 pound and 1,000 grams = 1 kilogram, we can convert the weights accordingly:
1 pound = 16 ounces
1 kilogram = 1,000 grams
Now, let's consider the weights of the sandwich fillings:
If we have x pounds of sandwich fillings, the weight in ounces will be:
x pounds * 16 ounces/pound = 16x ounces
If we have y kilograms of sandwich fillings, the weight in grams will be:
y kilograms * 1,000 grams/kilogram = 1,000y grams
Comparing the two, we can see that 16x ounces is larger than 1,000y grams. This means that the total weight of the sandwich fillings will be a greater number of ounces.
Therefore, the total weight of the sandwich fillings will be a greater number of ounces.