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Let's denote the number of students who brought a lunch as x.
Given that the ratio of students who ate the school lunch to students who brought a lunch is 27/5, we can set up the following proportion:
27/5 = 135/x
Cross multiply to solve for x:
27x = 135 * 5
27x = 675
x = 675 / 27
x = 25
Therefore, 25 students brought their lunch.