Question

A new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained 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?

Answer 1

The expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is y = 0.67x.

Explanation:

We are given that a new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligrams of sodium per serving.

Let the amount of sodium per serving, in milligrams, in the new soup recipe be 'y' and the amount of sodium per serving, in milligrams, in the old soup recipe is given to us as 'x'.

So, according to the question, the condition states that;

A new soup recipe contains 33 percent less sodium per serving than the old soup recipe, that means;

`y = x- 33\% \text{ of } x`

`y = x- (33)/(100) * x`

`y = (100x - 33x)/(100)`

`y = (67x)/(100)`

y = 0.67x

Hence, the expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is y = 0.67x.