Question

In a school, 60% of the students are senior.

45% of the seniors have school meals.
75% of the juniors have school meals.
What percentage of the students (seniors and juniors) have school meals?

Answer 1

57%

Explanation:

Let's consider the total number of students as 100%.

60% of all students are senior, which means that the rest (40%) are juniors.

Out of all senior students, 45% have school meals.

To find the percentage of senior students who have school meals, we should do the following:

`\ (45\% *60\%)/(100\%) = 27\%`

This is the percentage of students who are senior and have school meals.

We need to repeat the same procedure with junior students.

To do that, we need to find the 75% of 40% out of total, which is 100%.

`(75\% * 40\% )/(100\%) = 30\%`

This is the percentage of junior students who have school meals.

Finally we need to add up the percentages to find the total percentage of students who have school meals.

`27\% + 30\% = 57\%`