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?

(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

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