Question

In a certain group of people, it was found that 50% are women. 20% of the women were found to be married and that 15% of the married women had children. Find the percentage of mothers in that group of people.

a) 3%
b) 6%
c) 7.5%
d) 10%

Answer 1

To find the percentage of mothers in the group, we multiply the percentage of women by the percentage married and then by the percentage of those who have children, which gives us 1.5%, not matching any of the provided choices.

Step-by-step explanation:

To determine the percentage of mothers in the group, we must first calculate the percentage of women who are married and then calculate the percentage of those married women who have children.

• Calculate the percentage of married women: 50% women in the group × 20% of them married = 10% married women.
• Calculate the percentage of married women with children: 10% married women × 15% of them with children = 1.5% mothers.

Therefore, 1.5% of the entire group consists of mothers. This means that none of the answer choices provided (a) 3%, (b) 6%, (c) 7.5%, (d) 10%) is correct, as the correct percentage of mothers in that group is 1.5%.