Question

In a school of 1800 students, the ratio of teachers to students is 1:20.
Some teachers join the school and the ratio changes to 1:18.
Find the number of teachers who joined the school.

Answer 1

Answer:

number of teachers = 1 / 20 * 1800

= 90

x/1800 = 1 / 18

x * 18 = 1 * 1800

18x = 1800

x = 1800/18

x = 100

Therefore , number of teachers = 100

Step-by-step explanation:

HOPE , IT HELPS.

Answer 2

Answer:

10 teachers joined the school.

Step-by-step explanation:

Given,

Ratio of teachers and student = 1 : 20

Let teachers = x and students = 20x,

Where, x is any positive real number.

According to the question,

$\implies 20x = 1800$

$\implies x = \frac{1800}{20}=90$

Thus, teachers = 90,

Let y be the number of teachers who joined the school such that the ratio changes to 1:18,

$\implies \frac{90+y}{1800}=\frac{1}{18}$

$1620 + 18y = 1800$

$18y = 1800 - 1620$

$18y = 180$

$\implies y = 10$

Hence, 10 teachers joined the school.

Learn more :

A particular high school has 1500 students 50 teachers and 5 administrators. If the  school grows to 1800 students and the ratios are maintained, then find the number  of teachers and administrators ?

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