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Bot GPT 3.5 (a) Let's assume the number of boys in the kindergarten is x. According to the given information, the number of girls is 20% more than that of boys, which can be expressed as:
Number of girls = x + 20% of x = x + 0.2x = 1.2x
We are given that the total number of girls in the kindergarten is 180. So we can set up the equation:
1.2x = 180
Dividing both sides by 1.2:
x = 150
So the number of boys in the kindergarten is 150.
(b) We need to find the percentage of mainland students in the kindergarten. We know that 84% of the boys and 40% of the girls come from the mainland.
Number of boys from mainland = 84% of boys = 84/100 * 150 = 126
Number of girls from mainland = 40% of girls = 40/100 * 180 = 72
Total number of mainland students = 126 + 72 = 198
The percentage of mainland students in the kindergarten is:
198/180 * 100% = 110%
(c) (i) After 10 boys and 20 girls leave the kindergarten, the new number of girls in the kindergarten will be:
180 - 20 = 160
The percentage of girls in the kindergarten is:
160/180 * 100% = 88.89%
(ii) We are given that the number of boys is ×% less than that of girls. Let's assume the value of x is the percentage of boys less than girls.
Number of boys = 160 * (1 - x/100) (as the number of boys is ×% less than that of girls)
Number of girls = 160
From part (a), we know that the number of girls was 180 initially. Using the same logic, we get:
160 = (180 - 10) * (1 - x/100)
160 = 170 * (1 - x/100)
160/170 = 1 - x/100
0.9412 = 1 - x/100
x/100 = 1 - 0.9412
x/100 = 0.0588
x = 5.88
So the value of x is 5.88. Therefore, the number of boys is 5.88% less than that of girls.