Read the data carefully and answer the following questions .Within a university, there are two student groups: 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 students, and the number of non-scientist students is 30% less than the total number of boy students in the university. Determine the numerical difference between the number of Boys Scientist and girls Scientist within 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 difference is = 300 - 150 = 150