# Shannon had 165 in her baseball collection. She sold 153 of the cards to purchase a new ipod. What is the percent of change in the number of Shannon's baseball collection?

Dec 7, 2016

There was a -92.7% change in the number of cards in Shannon's collection.

#### Explanation:

The percentage change can be calculated using the formula:

$p = \frac{N - O}{O} \cdot 100$ where $p$ is the percentage change, $N$ is the New Value and $O$ is the Old Value. Substituting for the New Value ($165 - 153 = 12$) and the Old Value (165) we can calculate the percentage change:

$p = \frac{12 - 165}{165} \cdot 100$

$p = \frac{- 153}{165} \cdot 100$

$p = \frac{- 15300}{165}$

$p = - 92.7$ rounded to the nearest tenth.