Chapter SH, Problem 7.3.13EP

To determine

To calculate: To find what percent of the cans are chicken noodle soup

Answer to Problem 7.3.13EP

  $56\%$ of the cans are chicken noodle soup

Explanation of Solution

Given information: If $28$ of the $50$ cups on a shelf are chicken noodle soup

Formula Used:

Percent proportion is an equation where a percent is equal to an equivalent ratio

Formula for percent proportion is

  $\frac{amount}{base}=\frac{percent}{100}$

Calculation:

Given that $28$ of the $50$ cups on a shelf are chicken noodle soup

Let $x$ percent of the cans are chicken noodle soup

Using percent proportion,

  $\frac{amount}{base}=\frac{percent}{100}$

Substituting the values,

  $\begin{array}{l}\frac{28}{50}=\frac{x}{100}\\ \frac{x}{100}=\frac{28}{50}\\ \frac{x}{100}=0.56\\ x=0.56\times 100\\ x=56\%\end{array}$

Conclusion:

Hence, $56\%$ of the cans are chicken noodle soup