Question

The king of a province proposes a new law that would give a tax credit to parents who homeschool their children. $10$ % of ministers approve of the law. Of these, $7$ out of $10$ are women. All other ministers are against the law. If there are equal numbers of men and women in his ministry department, then what fraction of male ministers approve of the ordinance?

• A. $\frac{3}{10}$
• B. $\frac{3}{47}$
• C. $\frac{3}{50}$
• D. $\frac{3}{100}$

Answer 1

The correct option is C $\frac{3}{50}$

7 out of 10 are women.

10 members comprises of 10% of total ministers.

$\therefore$ total ministers = 100

Half of them are males.

$\therefore$ no. of males = 50

Only 3 males approved the ordinance

$\therefore$ the fraction of males approved the ordinance = $\frac{3}{50}$