Ask Question
20 May, 13:26

In the United States in 1986, 48.7% of persons age 25-pluswere males. Of these males 23.8% were college graduates. In addition, 20.5% of all persons (malesand females) were college graduates. A) What proportion of persons 25-plus were female college graduates? B) What proportion of females 25-plus were college graduates?

+1
Answers (1)
  1. 20 May, 13:52
    0
    A) 8.9%

    B.) 17.35%

    Step-by-step explanation:

    Let X be the total number of persons age 25-plus

    This means 48.7% of X are males.

    Number of females become:

    (100 - 48.7) x = 51.3%X

    IF 23.8% of these males were graduates, then it means

    23.8% * 48.7%X of these males are graduates.

    0.238 * 0.487 X = 0.116X males are graduates.

    That is 11.6% of persons are male College graduates.

    If the question states that 20.5% of male and female were college graduates, then to answer question A, to get the number of female college graduates, it becomes:

    20.5% - 11.6% = 8.9%

    That means 8.9% of persons were female college graduates ...

    If 53.1% of persons are females, let y be the percentage of these females that are College graduates.

    Then it implies

    Y * 51.3 = 8.9

    Y = 8.9/51.3

    Y = 0.1735 = 17.35%

    This means the proportion of females that are College graduates = 17.35%
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “In the United States in 1986, 48.7% of persons age 25-pluswere males. Of these males 23.8% were college graduates. In addition, 20.5% of ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers