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 grams? Explain your answer.
Hello bot please explain😁
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 units.
Since 16 ounces equal 1 pound, it means that 1 ounce is equal to 1/16 pound.
Similarly, 1,000 grams equal 1 kilogram, so 1 gram is equal to 1/1000 kilogram.
Since pounds are a larger unit than kilograms, it follows that ounces are also larger than grams. Therefore, the total weight of the sandwich fillings will be a greater number of grams.
In other words, if we have x ounces, the equivalent weight in grams would be (x/16) pounds * 1000 grams per pound, which simplifies to (x * 1000) / 16 grams.
Since the denominator is larger than the numerator, the weight in grams will be a greater number than the weight in ounces.
the weights of all of the fillings in kilograms is:
1.5 kilograms of turkey
• 1.25 kilograms of beef
• 2.25 pounds of cheese
To find the total weight of the sandwich fillings, we first need to convert the weight of cheese from pounds to kilograms.
We know that 16 ounces equal 1 pound, so 2.25 pounds is equivalent to (2.25 * 16) ounces = 36 ounces.
Next, we know that 1,000 grams equal 1 kilogram, so 1 ounce is equivalent to (1/16) pounds * 1000 grams per pound = 62.5 grams.
Therefore, the weight of the cheese in grams is (36 * 62.5) grams = 2,250 grams.
Now, let's add up the weights:
1.5 kilograms of turkey + 1.25 kilograms of beef + 2.25 pounds of cheese (converted to grams) + 2,250 grams of cheese = total weight of the sandwich fillings.
After adding up the weights, we can compare the total weight in ounces and grams to see which is greater.
Please explain it like I'm a kindergartner
Also, are you sure about your answer?
Certainly! Let me explain it in simpler terms:
When we talk about weight, there are different units we can use, like ounces and grams. We want to find out which unit will give us a bigger number for the total weight of the sandwich fillings.
Now, let's imagine the sandwiches were made with:
- 1 and a half bags of turkey (that weigh the same as 1.5 kilograms)
- 1 and a quarter bags of beef (that weigh the same as 1.25 kilograms)
- 2 and a quarter blocks of cheese (each block weighing the same as 1 pound)
To compare ounces and grams, we need to convert the weight of the cheese from pounds to grams. We know that 16 ounces equal 1 pound, so 2.25 pounds of cheese would be the same as 36 ounces.
In grams, we know that 1 ounce is equal to about 28 grams. So, to find how many grams the cheese weighs, we need to multiply 36 (the number of ounces) by 28 (the number of grams in an ounce), which gives us 1008 grams.
Now, let's add up all the weights using the kilogram and gram units:
1.5 kilograms of turkey + 1.25 kilograms of beef + 2.25 pounds (or 1008 grams) of cheese = the total weight of the sandwich fillings.
By doing the calculations, we find the total weight of the sandwich fillings.
Comparing the total weight in ounces and grams, you will find that it's a larger number in grams.
Therefore, the total weight of the sandwich fillings will be a greater number of grams.
I apologize for any confusion earlier.