The mayor of Dunderville process a new ordinance that would give a tax credit to parent who homeschool their children. Ten percent of Dunderville's residents approve of the ordinance. Of these, 7 out of 10 are women. All of Dunderville's other residents are against the ordinance. If there are equal numbers of men and women in Dunderville, then what fraction of Dudervelli's male residents approve of the ordinance?

Options

A. `(3)/(10)`
B. `(3)/(47)`
C. `(3)/(50)`
D. `(3)/(100)`

Answer

C

Explanation

Difficult: Medium
Category: Problem Solving and Data Analysis/ Rates, Ratios, Proportions, and Percentages
Strategic Advice: Don't panic when you see a lot of information.Take a deep breath and calmly assess the information one piece at a time.
Gettting to the Answer: You're not given an amount for the population of Dunderville, so start by picking one. If Dundervelli has 100 people (a nice number to pick whenever a problem involves percents), then according to the question, 50 are men and 50 are women. Furthermore, 10% or `0.10times100=10` people, approve of the ordinance. The 10 people who people of the ordinance are not evenly split by gender: 7 are women and 3 are men. Thus, overall, 3 men of the 50 in Dundervelli approve the ordinance. The answer is (C).