An institute organised a fete and 1/5 of the girls and 1/8 of the boys...
Let's assume there are a total of 40 students in the institute.
Given that 1/5 of the girls and 1/8 of the boys participated in the fete, we need to determine the fraction of the total number of students who took part.
Let's break down the problem into steps to find the solution:
Step 1: Calculate the number of girls and boys in the institute
Assuming a total of 40 students, let's say there are 20 girls and 20 boys in the institute.
Step 2: Calculate the number of girls who participated in the fete
1/5 of the girls participated, so the number of girls who participated is (1/5) * 20 = 4.
Step 3: Calculate the number of boys who participated in the fete
1/8 of the boys participated, so the number of boys who participated is (1/8) * 20 = 2.5.
Since we cannot have a fraction of a student, we need to consider only whole numbers. Therefore, we round down the fraction to the nearest whole number, which means only 2 boys participated.
Step 4: Calculate the total number of students who participated
The total number of students who participated is 4 (girls) + 2 (boys) = 6.
Step 5: Calculate the fraction of students who participated
To find the fraction, we divide the number of students who participated by the total number of students in the institute.
Fraction of students who participated = 6 (students who participated) / 40 (total students) = 3/20.
Therefore, the correct fraction is 3/20, which is not given as an option. Hence, the answer is "Data inadequate" (option C).
In this question, we couldn't determine the exact number of boys who participated due to the fraction involved. Hence, we couldn't find the exact fraction of students who participated, leading to the answer "Data inadequate."
An institute organised a fete and 1/5 of the girls and 1/8 of the boys...
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