At this same time in 2010, 78% of people said they went out dancing at least one night a month. Recently, this number has increased by only 2%. What is the recent percentage of people that go out dancing once a month?

Answer:79.56% Step-by-step explanation:In year, 2019, 78% of people said they went out dancing at least one night a month. Let number of people go for dancing be x Let total number of people be y Percentage of people go for dancing = [tex]\dfrac{x}{y}\times 100[/tex] Therefore, [tex]\dfrac{x}{y}\times 100=78[/tex] [tex]\dfrac{x}{y}=.78[/tex][tex]x=0.78y[/tex]Recently, this number has increased by only 2%. New number of people go for dancing = x + 2% of x                                                                 = [tex]x+0.02x[/tex]                                                                 = [tex]1.02x[/tex]New percentage go for dancing in a month [tex]=\dfrac{1.02x}{y}\times 100[/tex]                            [tex]=\dfrac{1.02\times 0.78y}{y}\times 100[/tex]                            [tex]=79.56\%[/tex]Hence, 79.56% of people go out dancing once a month.