Final answer:
To solve the problem, we need to find the number of males and females in the group and calculate the number of males who passed and failed the driving test. The number of males who passed is 8 more than the number of females who passed. Finally, we can determine the number of females who failed.
Step-by-step explanation:
To solve this problem, we can start by finding the number of females and males in the group. Given that 18 out of the 50 people are women, we can calculate the number of men by subtracting the number of women from the total. So, the number of men is 50 - 18 = 32.
Next, we know that one quarter of the men failed the driving test. This means that 25% of the men failed, which is equivalent to 0.25 * 32 = 8 men.
Now, let's determine the number of women who passed the driving test. We are given that the number of men who passed the test is 8 more than the number of women who passed. So, the number of women who passed is (32 - 8) / 2 = 12 women.
Finally, we can find the number of women who failed by subtracting the number of women who passed from the total number of women. Therefore, the number of women who failed is 18 - 12 = 6 women.