The percent of decrease is 20 %
Solution:
Given that 870 people bought tickets for the school play
But but only 696 people actually attended
To find: percent decrease
Percent decrease is a measure of percent change, which is the extent to which something loses value
The figures are arrived at by comparing the initial (or before) and final (or after) quantities according to a specific formula.
The formula for percent decrease is given as:
![\text {percentage decrease }=\frac{\text { final value - initial value }}{\text { initial value }} * 100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j5q5odsmld0wud3702olo7e51er8ulpp7t.png)
Here initial value = 870 and final value = 696
Substituting in above formula, we get
![\begin{array}{l}{\text { percentage decrease }=(696-870)/(870) * 100} \\\\ {\text { percentage decrease }=(-174)/(870) * 100=-20 \%}\end{array}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/czh4d15zc3g2ejhjc0s1t43lcrm5a0gewy.png)
Here negative sign indiactes decrease in percentage
Thus percent of decrease is 20 %