Question

In certain area, 25% of women were black, 75% were white. The literacy rates for black women were 48% and for white women was 83%. What proportion of the literate women was black?

Answer 1

Answer:

38.4%

Step-by-step explanation:

Hi,

Let 'x' be the total number of women in a given area

Given that 25% are black, so number of black women are 25x/100

= x/4

Given that 75% are white , so number of white women are 75x/100

= 3x/4

Given that 48% of black women are literate, so number of black

women who are literate are = 48/100*x/4 = 48x/400

Given that 83% of white women are literate, so number of white

women who are literate are = 83/100*x/4 = 83x/400

Proportion of the literate women who are black

= Number of black literate women /Total Number of literate women

=  (48x/400)/(48x/400) + (83x/400)

= 48/(48 + 83)

= 48/125

or 38.4%

Hope, it helps !