Question

27% of the high school graduating class of 2010 went on to a 2-year college, 41% went on to a 4-year college, and the remaining 32% did not go on to college. Of these who went on to a 2-year college, 52% worked at the same time, 32% of these going on to a 4-year college worked, and 78% of those who did not go on to college worked.

What percentage of those working had not gone on to college?

Answer 1

Explanation:

so, let's find the % of graduates, who worked after graduation.

there are 52% of 27% in 2-year college.

there are 32% of 41% in 4-year college.

there are 78% of 32% in no college.

52% of 27% is 27×0.52 = 14.04%

32% of 41% is 41×0.32 = 13.12%

78% of 32% is 32×0.78 = 24.96%

so, in total, 24.96+13.12+14.04 = 52.12% of the high school graduates worked after graduation.

from all these (52.12%) working graduates,

24.96/52.12×100 % = 47.8894858...% ≈ 47.89%

did not go to a college