In a school of 1200 students, the ratio of the number of teachers to students is 1:15. After some teachers join the school, the ratio of the number of teachers to student becomes 3:40 find the number of teachers who join the school.
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Answer:
10 teachers have joined the school.
Step-by-step explanation:
Given that the school has 1200 students.
Ratio of number of teachers to Students is 1:15
∴ number of teachers in the school is 1/15 x 80/80 = 80 teachers.
So in the school there are 80 teachers and 1200 students.
After some teachers joins the school, the new ratio becomes 3:40
So number of teachers = 3/40 x 30/30 = 90/1200
Hence now the number of teachers have become 90.
∴ the number of teachers who joined the school = 90-80=10
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