Ratio Calculation: Finding the Number of Boys
The problem requires finding the number of boys in a school given the total number of students and the ratio of boys to girls.
1. Determine Total Ratio Parts
The ratio of boys to girls is given as 17 : 11. To find the total number of parts in the ratio, we add the parts representing boys and girls.
Total parts = Boys' parts + Girls' parts
$ \text{Total parts} = 17 + 11 = 28 $
2. Calculate the Value of One Ratio Part
The total number of students is 9,632. This total represents the 28 parts of the ratio. To find the value of one part, we divide the total number of students by the total number of parts.
Value of 1 part = Total Students / Total Parts
$ \text{Value of 1 part} = \frac{9,632}{28} $
$ \text{Value of 1 part} = 344 $
3. Calculate the Number of Boys
The number of boys corresponds to 17 parts of the ratio. To find the total number of boys, we multiply the value of one part by the number of parts representing boys.
Number of Boys = Value of 1 part $ \times $ Boys' parts
$ \text{Number of Boys} = 344 \times 17 $
$ \text{Number of Boys} = 5,848 $
Therefore, there are 5,848 boys in the school.
Important Questions from Ratio and proportion
A sum of Rs. 2,500 is distributed among X, Y and Z in the ratio 1/2 : 3/4 : 5/6 . What is the difference between the maximum share and the minimum share?
In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?
How many different sums can be formed with the denominations Rs. 50, Rs. 100, Rs. 200, Rs. 500 and Rs. 2,000 taking at least three denominations at a time?
In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?
The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)
