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?

a) 0.67x
b) (1-33/100)x
c) 0.33x
d) x-33
e) x-33x

Answer 1

Answer:

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

Step-by-step explanation:

Given:

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.

Now, to find the expression that could represent the amount of sodium per serving, in milligrams, in the new soup recipe.

The old soup recipe contained sodium per serving = $x\ milligrams.$

As given, the new soup recipe contains 33 percent less sodium per serving than the old soup recipe.

So, to get the amount of new soup recipe sodium per serving we write an equation:

$x-33\%\ of\ x$

= $x-\frac{33}{100} \times x$

= $x-\frac{33x}{100}$

= $x-0.33x$

= $0.67x.$

Thus, the expression $0.67x$ milligrams represent the amount of sodium per serving in new soup recipe.

Therefore, the expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is a) $0.67x.$