Answer :
Sure, let's go through the solution step by step.
1. Identify the sodium content in each part of the meal:
- The cheeseburger contains 1310 milligrams of sodium.
- The fries contain 350 milligrams of sodium.
2. Calculate the total sodium content in the meal:
To find the total sodium content, we add the sodium content from the cheeseburger and the fries.
[tex]\[ \text{Total sodium} = 1310 \, \text{mg} + 350 \, \text{mg} = 1660 \, \text{mg} \][/tex]
3. Determine the percentage of the daily recommended intake this total represents:
We know that the total sodium content of 1660 milligrams represents 66.4% of the recommended daily intake of sodium.
4. Convert the percentage to a decimal:
To use the percentage in calculations, convert it from a percentage to a decimal by dividing by 100.
[tex]\[ 66.4\% = \frac{66.4}{100} = 0.664 \][/tex]
5. Find the recommended daily intake of sodium:
To find the full recommended daily intake, divide the total sodium content by the decimal form of the percentage.
[tex]\[ \text{Daily recommended intake} = \frac{1660 \, \text{mg}}{0.664} \approx 2500 \, \text{mg} \][/tex]
Therefore, the recommended daily intake of sodium for a 2,000 calorie diet is 2500 milligrams.
1. Identify the sodium content in each part of the meal:
- The cheeseburger contains 1310 milligrams of sodium.
- The fries contain 350 milligrams of sodium.
2. Calculate the total sodium content in the meal:
To find the total sodium content, we add the sodium content from the cheeseburger and the fries.
[tex]\[ \text{Total sodium} = 1310 \, \text{mg} + 350 \, \text{mg} = 1660 \, \text{mg} \][/tex]
3. Determine the percentage of the daily recommended intake this total represents:
We know that the total sodium content of 1660 milligrams represents 66.4% of the recommended daily intake of sodium.
4. Convert the percentage to a decimal:
To use the percentage in calculations, convert it from a percentage to a decimal by dividing by 100.
[tex]\[ 66.4\% = \frac{66.4}{100} = 0.664 \][/tex]
5. Find the recommended daily intake of sodium:
To find the full recommended daily intake, divide the total sodium content by the decimal form of the percentage.
[tex]\[ \text{Daily recommended intake} = \frac{1660 \, \text{mg}}{0.664} \approx 2500 \, \text{mg} \][/tex]
Therefore, the recommended daily intake of sodium for a 2,000 calorie diet is 2500 milligrams.
