Chapter 7.5, Problem 13E

To determine

To calculate: To find the percent of change and correction of error in the data provided.

Answer to Problem 13E

Percent decrease = $44.4\%$

Explanation of Solution

Given information:

Consider the information provided in the question, Original: $90$ and New: $50$

Formula used:

  $\text{percent of change, }p\text{\% =}\frac{\text{Amount of increrase or decrease}}{\text{Original amount}}$

Calculation:

It is observed from the data provided that the, new amount < original amount, this is a question of percent of decrease.

  $\begin{array}{l}\text{percent of change, }p\text{\% =}\frac{\text{Amount of increrase or decrease}}{\text{Original amount}}\\ \text{ = }\frac{\text{Amount of decrease}}{\text{Original Amount}}\text{ [write formula for percent of decrease]}\\ \text{ = }\frac{90-50}{90}\text{ [substitute]}\\ \text{ = }\frac{40}{90}\text{ [subtract]}\\ \text{ = 44}\text{.44}=44.4\%\text{ [divide}\text{. Then write decimal as a percent] }\end{array}$

Therefore, Percent of increase = $44.4\%$