I believe that the following represents the intent of the problem:
oquiella wrote:42. In a class, 30% of the students are girls, and 70% of these girls are intelligent. What percentage of the boys in the class are intelligent?
(1) 42% of the class is intelligent.
(2) The number of girls who are intelligent is the same as the number of boys who
are intelligent.
Let the total number of students = 100.
Thus:
Total girls = 30% of 100 = 30, implying that total boys = 100-30 = 70.
Intelligent girls = 70% of 30 = 21.
Statement 1:
Total intelligent = 42% of 100 = 42.
Intelligent boys = (total intelligent) - (intelligent girls) = 42-21 = 21.
Of the 70 boys, the percentage who are intelligent = (intelligent boys)/(total boys) * 100 = 21/70 * 100 = 30%.
SUFFICIENT.
Statement 2:
Intelligent boys = intelligent girls = 21.
Of the 70 boys, the percentage who are intelligent = (intelligent boys)/(total boys) * 100 = 21/70 * 100 = 30%.
SUFFICIENT.
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