Courses
Courses for Kids
Free study material
Offline Centres
More

# A group of 80 students went on a picnic. 15% of them were girls. How many girls were there in the group? How many were boys?

Last updated date: 23rd Feb 2024
Total views: 359.4k
Views today: 7.59k
Verified
359.4k+ views
Hint: We start solving the by assigning the variable for the total number of girls in the group and finding the total number of boys in that group. We then find the total number of girls in the group using the fact that a% of b is $\dfrac{a}{100}\times b$. We then find the total number of boys by subtracting the total number of girls from 80 students.

Let us assume the total number of girls is ‘x’. Then the total number of boys will be $\left( 80-x \right)$.
We know that a% of b is defined as $\dfrac{a}{100}\times b$.
So, we get $x=\dfrac{15}{100}\times 80$.
$\Rightarrow x=\dfrac{1200}{100}$.
$\Rightarrow x=12$.
Now, let us find the total number of boys in the group. So, we get the total number of boys as $80-x=80-12=68$.
Note: We should confuse that there are 15 girls in the group instead of 15% of the students which is the most common mistake. We can also find the total number of boys by first finding the percentage of the boys present in the group and following the similar procedure we did for finding the total number of girls. We should not confuse a% of b with $a\times b$ instead of $\dfrac{a}{100}\times b$. Similarly, we can expect problems to find the total percentage of the girls if 10 more girls are added to this group.