Initially, 40% of the students at the school dance are freshmen. Then, 15 more freshmen arrive, after which 50% of the students at the dance are freshmen. How many students are now at the dance after the additional freshmen arrive?

Guest Sep 16, 2021

#1**+1 **

x = initial amount of people at the dance and

Initially .40 x = freshmen_{o}

then add 15 freshmen

.50 (x+15) = freshmen_{o} + 15

.50(x+15 ) = .40x + 15

.5x + 7.5 = .40x + 15

.1x = 7.5

x = 75 people at the dance initially ..... after 15 more freshmen arrive there is 90 people at the dance

ElectricPavlov Sep 16, 2021