In a private school the ratio of boys to girls is 5:3 if there are 50 more boys than girls. How many students are there in total?
(5/8)x = (3/8)x + 50
5x = 3x + 400
2x = 400
x = 200
50 boys there would be 30 girls
100 boys there would be 60
150 boys there would 90 girls
The above should give you an idea of what the ratio means
125 boys would be 75 girls
and a difference of 50 more boys.
To find out how many students there are in total, we need to determine the number of boys and girls separately, and then add them together.
Let's start by setting up an equation using the given information. We are told that the ratio of boys to girls is 5:3, which means that for every 5 boys, there are 3 girls. We are also told that there are 50 more boys than girls.
Let's assume the number of girls is x. Then the number of boys would be x + 50, since there are 50 more boys than girls.
Now we can set up the equation:
Number of boys / Number of girls = 5/3
(x + 50) / x = 5/3
To solve this equation, we can cross-multiply:
3(x + 50) = 5x
3x + 150 = 5x
150 = 5x - 3x
150 = 2x
Dividing both sides by 2:
x = 75
So, there are 75 girls in the school.
Now we can find the number of boys:
Number of boys = Number of girls + 50 = 75 + 50 = 125
Therefore, in total, there are 75 girls + 125 boys = 200 students in the private school.