Question

there are 1070 audience in a Concert Hall. If the number of males is 2/3 of the number of females, find differences between the numbers of males and females in the concert hall

Answer 1

let y = number of males and x = number of females
 then we have the equations:-

x + y = 1070

y = 2/3 x

Substituting for y:-

x + 2/3 x = 1070

5/3 x = 1070

x = 1070 * 3/5 =  642


so there are 642 females and 1070 - 642 =  428 males

difference = 642 - 428  = 214