Problema Solution

When a group of people consisting of 52% males is joined with another group of people consisting of 48% males, the result is a group of 15,000 people consisting of 48.8% males. How many people were in the two groups that were joined?

Answer provided by our tutors

let member in group 1 is x and in group 2 is y

now 52% are male in g1 and 48% in group 2

thus 0.52x+0.48y=0.488*15000

=> 0.52x+0.48y=7320--(1)

agian

x+y=15000---(2)

=> x=15000-y

replace in (1)

0.52(15000-y)+0.48y=7320

=> 0.04y=480

=> y=12000

thus x=15000-12000=3000