2/9 of the number of pupils are boys. There are 75 more girls than boys. How many pupils are there in the school?
No of girls=(1-2/9)x=7/9x. therefore 7/9x= (2/9)x+75,Collect like terms:7/9x-2/9x=75,finish the process and find x
75
To find the number of pupils in the school, we need to set up an equation based on the given information.
Let's assume the total number of pupils in the school is represented by "x".
According to the given information, 2/9 of the pupils are boys. So, the number of boys in the school is (2/9) * x.
It is also mentioned that there are 75 more girls than boys. Therefore, the number of girls in the school is [(2/9) * x] + 75.
Since the total number of pupils is the sum of the number of boys and girls, we can set up the equation:
x = [(2/9) * x] + 75 + [(2/9) * x]
We can simplify this equation by multiplying through by 9 to eliminate the fraction:
9x = 2x + 675 + 2x
Combining like terms:
9x = 4x + 675
Subtracting 4x from both sides:
9x - 4x = 675
5x = 675
Dividing both sides by 5:
x = 675 / 5
x = 135
Therefore, there are 135 pupils in the school.