1. If 96% of Chinese couples have one child (which is female 50% of the time), and the remaining 4% of Chinese couples engage in sex-selective abortion until they have a male child, what is the ratio of females per 100 males among the children (to the nearest whole number)?
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To calculate the ratio of females per 100 males among the children, we need to consider two groups: the 96% of couples who have one child and the remaining 4% who engage in sex-selective abortion until they have a male child.
Let's start by calculating the ratio of females to males in the group of couples who have one child. Since 50% of the time the one child will be female, we can assume that in every 100 children from this group, 50 will be female and 50 will be male.
Next, let's calculate the ratio in the group of couples who engage in sex-selective abortion. These couples continue to have children until they have a male child. Since they keep trying until it's a male, the ratio of females to males in this group will be zero.
Now, we need to combine the two groups. The 96% of couples who have one child contribute equally to the female and male populations, while the 4% of couples who engage in sex-selective abortion contribute only males. Therefore, the overall ratio will be slightly skewed towards males due to this 4% group.
To calculate the final ratio, we can assume a population of 100 couples. Among the 96 couples who have one child, there will be 96 females and 96 males. Among the 4 couples who engage in sex-selective abortion until they have a male child, there will be 0 females and 4 males.
Adding up the total number of females and males, we have 96 females and 100 males. To calculate the ratio per 100 males, we divide the number of females by the number of males and multiply by 100:
Ratio = (96 females / 100 males) * 100 = 96%
Therefore, the ratio of females per 100 males among the children is 96%.