Chapter 6, Problem 29CR

To determine

To explain if the jersey is free.

Answer to Problem 29CR

No, it is not free

Explanation of Solution

Given:

The jersey is 50% off the original price.

One week later there is another 50% off.

Calculation:

Let us assume that the original price of the jersey be $100.

If the jersey is on sale for 50% off the original price,

Then, the price of the jersey is,

  $100\times \frac{50}{100}=\$50$

The price is halved.

If there is another discount after a week of 50%,

  $\begin{array}{l}\Rightarrow 50\times \frac{50}{100}\\ \Rightarrow \cancel{50}1\times \frac{50}{\cancel{100}2}\\ \Rightarrow \frac{50}{2}\\ \Rightarrow \$25\end{array}$

Therefore, the price of the jersey is $25.

Conclusion:

Therefore, the jersey is not free.