Try the fastest way to create flashcards
Question

# Find the percent of decrease if the original population was 800 and the new population is 716.

Solution

Verified
Step 1
1 of 2

Given:

\begin{align*} \text{Original number}=800 \\ \text{New number}=716 \end{align*}

We note that the new value is lower than the original value and thus we have a decrease in the value.

We then first determine the amount of the decrease, which is obtained by subtracting the original value from the new value.

\begin{align*} \text{Amount of decrease}&=\text{Original value}-\text{New number} \\ &=800-716 \\ &=84 \end{align*}

Next, we obtain the percent of decrease by dividing the amount of decrease by the original value and multiply the results by 100.

\begin{align*} \text{Percent of decrease}&=\frac{\text{Amount of decrease}}{\text{Original number}}\cdot 100 \\ &=\frac{84}{800}\cdot 100 \\ &=\frac{21}{200}\cdot 100 \\ &=0.105\cdot 100 \\ &=10.5 \end{align*}

## Recommended textbook solutions #### Tennessee Bridge Math

1st EditionISBN: 9780076611294Chicha Lynch, Eugene Olmstead
8,789 solutions #### enVision Algebra 1

1st EditionISBN: 9780328931576Al Cuoco, Christine D. Thomas, Danielle Kennedy, Eric Milou, Rose Mary Zbiek
3,653 solutions #### Algebra 1

4th EditionISBN: 9781602773011Saxon
5,377 solutions #### Big Ideas Math Integrated Mathematics II

1st EditionISBN: 9781680330687Boswell, Larson
4,539 solutions