A container of cream cheese weighs 250 grams, which is equivalent to 8.8 ounces. Calculate the missing conversions. Grams Ounces 250 8.8 a0 11 1,000 a1
The Correct Answer and Explanation is:
To solve this conversion problem, we need to use the conversion factor between grams and ounces. We know the following:
- 250 grams is equivalent to 8.8 ounces.
- 1 ounce = 28.3495 grams (this is the standard conversion factor).
Step 1: Calculate the number of ounces in 1 gram
To find how many ounces there are in 1 gram, we divide 1 by the conversion factor of 28.3495 grams per ounce:1 gram28.3495 grams per ounce=0.03527396 ounces per gram\frac{1 \text{ gram}}{28.3495 \text{ grams per ounce}} = 0.03527396 \text{ ounces per gram}28.3495 grams per ounce1 gram=0.03527396 ounces per gram
So, 1 gram is equivalent to approximately 0.0353 ounces.
Step 2: Calculate the number of grams in 1 ounce
To find how many grams there are in 1 ounce, we use the conversion factor directly:1 ounce=28.3495 grams1 \text{ ounce} = 28.3495 \text{ grams}1 ounce=28.3495 grams
So, 1 ounce is equal to 28.3495 grams.
Step 3: Calculate missing conversions
From 1,000 grams to ounces:
We know that 1 gram = 0.0353 ounces, so to convert 1,000 grams to ounces, we multiply:1,000 grams×0.0353 ounces per gram=35.27396 ounces1,000 \text{ grams} \times 0.0353 \text{ ounces per gram} = 35.27396 \text{ ounces}1,000 grams×0.0353 ounces per gram=35.27396 ounces
Thus, 1,000 grams is approximately 35.27 ounces.
From 11 ounces to grams:
We also know that 1 ounce = 28.3495 grams, so to convert 11 ounces to grams, we multiply:11 ounces×28.3495 grams per ounce=311.8445 grams11 \text{ ounces} \times 28.3495 \text{ grams per ounce} = 311.8445 \text{ grams}11 ounces×28.3495 grams per ounce=311.8445 grams
So, 11 ounces is approximately 311.84 grams.
Final Answer
Here are the missing conversions:
- 1,000 grams = 35.27 ounces
- 11 ounces = 311.84 grams
These calculations help us understand how to convert between grams and ounces using their standard conversion factors.
