Question

Pls help!!!!

Find the percent of decrease from 300 to 250. Round to the nearest tenth of a percent if necessary.

120%

0.2%

20%

16.7%

Answer 1

from 300 to 250 is well, just a change of 50 units.

if we take the 300 as the 100%, what is 50 off of it as percentage?

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 300&100\\ 50&x \end{array}\implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x}\implies 6x=100 \\\\\\ x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x=16.666666\overline{6}\implies \stackrel{\textit{rounded up}}{x = 16.7}`

Answer 2

The percent of decrease from 300 to 250 is 16.7%

Explanation:

The percentage of decrease measures the magnitude of decrease of a number compared to its original value.

To calculate the percent decrease we must use the following formula

% Decrease = (Initial value - Final Value) / Initial Value

% Decrease = (300 - 250) / 300 = 50/300

Then we simplify using the GCF of 50

50/300 = 1/6 =0.16666 = 16.66% = 16.7%

We turn the decimal to percentage by multiplying by 100.

The percent of decrease from 300 to 250 is 16.7%