Question

Кількість розумних дівчат у Хацапетівці на 40 процентів більша від кількості красивих, а 25 процентів розумних є красивими.Який відсоток розумних серед красивих?

Answer 1

Пусть x умных и красивых (одновременно)

Тогда умных всего $\frac{x}{25\%}=\frac{x\cdot100}{25}=4x$, а красивых всего $4x-0,4\cdot4x=4x-1,6x=2,4x$ (на 40% меньше, чем умных).

Тогда умных среди красивых $\frac{x}{2,4x}\cdot100=\frac{100}{2,4}=\frac{1000}{24}=41\frac23\%$

Answer 2

Calculation of the Percentage of Intelligent Girls among the Beautiful Ones in Khatsapetivka

To calculate the percentage of intelligent girls among the beautiful ones in Khatsapetivka, we can use the information provided in the question. According to the question, the number of intelligent girls is 40% greater than the number of beautiful girls, and 25% of the intelligent girls are also beautiful.

Let's assume that there are 100 beautiful girls in Khatsapetivka.

Based on the given information: - The number of intelligent girls is 40% greater than the number of beautiful girls, which means there are 140 intelligent girls (100 + 40% of 100). - 25% of the intelligent girls are also beautiful, which means there are 35 intelligent girls who are also beautiful (25% of 140).

To calculate the percentage of intelligent girls among the beautiful ones, we divide the number of intelligent girls who are also beautiful by the total number of beautiful girls and then multiply by 100.

Percentage of intelligent girls among the beautiful ones:

(35 / 100) * 100 = 35%

Therefore, the percentage of intelligent girls among the beautiful ones in Khatsapetivka is 35%.

Please note that the calculation is based on the information provided in the question and assumes that the given percentages are accurate.