Read the data carefully and answer the following questions .Within a university, there are two student groups: . c o scientists and non-scientists, encompassing both boys and girls.The number of boys scientists is twice the number of girls non-scientists. Among all the scientists, two-thirds are boys.The university has a total enrollment of 800 e e students, and the number of non-scientist students is 30% less than the total number of boy students in the university. Determine the proportion between the number of boys Scientist and boys non- Scientist in the University.

Explanation

ATQ, Let number of girls non-scientist in the University be 'x' So, number of boys scientist in the University= '2x' And total number of scientistin the University = 2x × (3/2) = '3x' So, number of girls scientist in the University = 3x - 2x = 'x' e e So, total number of girls in the University = x + x = '2x' So, total number of boys in the University = (800 - 2x) So, total number of non-scientist in the University = (800 - 2x) × 0.7 = (560 - 1.4x) ATQ: 560 - 1.4x + 3x = 800 Or, 1.6x = 240 So, x = 150 So, number of girls non-scientist in the University = 'x' = 150 So, number of boys scientist in the University = '2x' = 2 × 150 = 300 And total number of scientist in the University = '3x' = 3 × 150 = 450 So, number of girls scientist in the University = 'x' = 150 So, total number of girls in the University = '2x' = 2 × 150 = 300 So, total number of boys in the University = '800 - 2x' = 800 - 300 = 500 So, number of male non-scientist in the University = 500 - 300 = 200 Total number of non-scientist in the University = 560 - (1.4 × 150) = 560 - 210 = 350 Hence required ratio is = 300 :200= 3:2