Three fifths of the students in the cafeteria bought their lunch from the school. The rest brought their lunch from home. 27 of the students bought their lunch. Let t represent the total number of students in the cafeteria.

45 students

Step-by-step explanation:

Three fifths of the students in the cafeteria bought their lunch from the school. The rest brought their lunch from home. 27 of the students bought their lunch. Let t represent the total number of students in the cafeteria.

We are to calculate the total number of students in the cafeteria.

Fraction of the students in the cafeteria that bought their lunch from the school = 3/5

Number of the students that bought their lunch = 27 students

The total number of students can be calculated as:

3/5 Of t = 27 students

3/5 × t = 27

Cross Multiply

3t/5 = 27

3t = 27 × 5

t = 27 × 5/3

t = 45 students

Therefore, the total number of students in the cafeteria = 45 students

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