Final answer:
To find out how many milligrams are in 6 ounces of beef when there are 3.8 milligrams in 3.5 ounces, establish the milligrams per ounce and multiply by 6, resulting in approximately 6.5142 milligrams in 6 ounces of beef.
Step-by-step explanation:
The question involves mathematical operations to find the quantity of a substance (milligrams of beef) in a different amount (ounces of beef) than initially given. To solve this, we first establish a proportion based on the fact that there are 3.8 milligrams of substance in 3.5 ounces of beef. Our target is to find out how many milligrams are in 6 ounces of beef.
Here's a step-by-step solution:
- First, determine the number of milligrams per ounce by dividing the given amount by the ounces: 3.8 mg / 3.5 oz.
- Next, calculate the milligrams of substance per one ounce: 3.8 mg / 3.5 oz = 1.0857 mg/oz.
- Finally, multiply this rate by 6 ounces to find the total milligrams in 6 ounces of beef: 1.0857 mg/oz * 6 oz = 6.5142 mg.
Therefore, there are approximately 6.5142 milligrams of the substance in 6 ounces of beef.