A new soup recipe contains 3 3 % 33% less sodium per serving than the old soup recipe. The old soup recipe contained x x milligrams of sodium per serving. Which of the following expressions could represent the amount of sodium per serving, in milligrams, in the new soup recipe?

The new soup recipe would have 2/3x milligrams of sodium.

Step-by-step explanation:

We can find this by taking the amount in the old recipe (x) and subtracting the amount less the new one has (1/3x).

x - 1/3x = 2/3x

(1-33/100) x and 0.67x

Step-by-step explanation:

33% is 33 out of 100, or 33/100. Since the new recipe has 33%, or 33/100, less sodium, this means we take x, the amount in the old soup, and subtract 33/100 from it:

1 - 33/100 would represent the percent of sodium remaining, and x is the original amount, giving us (1-33/100) x.

If we write this percent as a decimal, we get 0.33. Taking this away from 100%, which is written in decimal form as 1, we get

1 - 0.33 = 0.67

Now we multiply this by the original amount of sodium, x:

0.67x