Question

Bud’s cheeseburger and fries contained 1310 milligrams and 350 milligrams of sodium, respectively. Together they contained 66.4% of the recommended daily intake of sodium for a 2,000 calorie diet. What is the daily recommended intake of sodium for a 2,000 calorie diet?

Answer 1

To find the daily recommended intake of sodium for a 2,000 calorie diet, we start by noting the total sodium content from Bud's cheeseburger and fries:

- Sodium in cheeseburger: 1310 mg
- Sodium in fries: 350 mg

Now, we add these two amounts together:

\[
\text{Total sodium} = 1310 \, \text{mg} + 350 \, \text{mg} = 1660 \, \text{mg}
\]

We know that this total (1660 mg) is 66.4% of the recommended daily intake. Let \( x \) represent the recommended daily intake of sodium. According to the information given, we have:

\[
0.664 \times x = 1660 \, \text{mg}
\]

To find \( x \), we can rearrange the equation:

\[
x = \frac{1660 \, \text{mg}}{0.664}
\]

Now we will calculate \( x \):

\[
x \approx \frac{1660}{0.664} \approx 2500.00 \, \text{mg}
\]

Thus, the daily recommended intake of sodium for a 2,000 calorie diet is approximately:

\[
\boxed{2500 \, \text{mg}}
\]