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

diet. What is the daily recommended intake of sodium for a 2,000 calorie diet? ​

Answer 1

2,500 mg

1,310 + 350 = 1,660

1,660 is 66.4% of 2,500

Answer 2

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Explanation:

In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.

`\text{total sodium} = 1310 + 350 = 1660 \text{ mg}`

We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:

`(1660)/(x) (mg)/(mg) = (66.4\%)/(100\%)`

`66.4*x = 1660*100\\x = (166000)/(66.4) = 2500 \text{ mg}`

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.