Answer: The new ratio of men to women on the bus is 2 to 7 in simplest form.
Explanation:
If the ratio of men to women on the city bus is 3 to 4, then the total number of parts in the ratio is 3+4 = 7. This means that 3/7 of the people on the bus are men and 4/7 are women.
If there are 28 people on the bus, then the number of women on the bus is:
4/7 * 28 = 16
If 4 women get off the bus, then the new number of women on the bus is:
16 - 4 = 12
The new total number of people on the bus is:
28 - 4 = 24
The new ratio of men to women can be found by dividing the number of men by the number of women:
3/7 : 12/24
Simplifying the ratio by dividing both sides by 3, we get:
1/7 : 4/8
Simplifying further by dividing both sides by 2, we get:
1/7 : 1/2
Therefore, the new ratio of men to women on the bus is 1 to 7/2 or 2 to 7 in simplest form.