At a certain school, the number of teachers meets the number of students in the ratio 1:11. If between teachers and students together there are 1569 people, how many are the students of this school?

Let's represent the number of teachers as "x" and the number of students as "11x" based on the given ratio. According to the information provided, the total number of teachers and students together is 1569: x + 11x = 1569 Combining like terms: 12x = 1569 To find the value of "x," we divide both sides of the equation by 12: x = 1569 / 12 x ≈ 130.75 Since the number of teachers cannot be a decimal value, we can approximate it to the nearest whole number: x ≈ 131 Therefore, there are approximately 131 teachers in the school. To find the number of students, we can multiply the number of teachers by 11: 11x = 11 * 131 11x = 1441 Therefore, there are 1441 students in the school.