Answer :
Given:
a.) Ninety-six percent of the newcomers caviled every time an event was announced.
b.) If 140 newcomers did not cavil.
Let's determine how many newcomers were there,
[tex]\text{ Percentage of newcomers who caviled = }\frac{\text{ Total no. - No. of those who didn't caviled}}{\text{ Total number}}\text{ x 100}[/tex]Let,
x = Total no. of newcomers
We get,
[tex]\text{ 96\% = (}\frac{\text{ x - 140}}{\text{ x }})(\text{100)}[/tex][tex]\text{ }\frac{\text{96\% }}{100}\text{= }\frac{\text{ x - 140}}{\text{ x }}[/tex][tex]\text{ (0.96)(x) = x - 140}[/tex][tex]\text{ 0.96x = x - 140}[/tex][tex]\text{ 140 = x - 0}.96\text{x}[/tex][tex]\text{ 140 = 0.04x}[/tex][tex]\text{ }\frac{\text{140}}{0.04}\text{ = }\frac{\text{0.04x}}{0.04}[/tex][tex]\text{ 3,500 = x}[/tex]Therefore, there were 3,500 newcomers there.