## the number of girls and boys are in ratio of 10:7. the number of boys is 6 more than number of girls what is the total strength of the class

Question

the number of girls and boys are in ratio of 10:7. the number of boys is 6 more than number of girls what is the total strength of the class

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1 month 2021-08-16T16:08:54+00:00 2 Answers 1 views 0

1. Step-by-step explanation:

### ★Correct Question:-

the number of boys and girls are in ratio of 10:7. the number of boys is 6 more than number of girls what is the total strength of the class.

### ★Solution

If it’s been given that boys are more than the girls, it means boys have a greater ratio.

Let the ratio of boy and girls be 10x and 7x respectively.

We’ve been given that number of boys is 6 more than the number of girls.

So we can conclude that,

The difference between the ratio of boys to girls will give 6 as it’s mentioned that number of boys is 6 more than number of girls.

10x – 7 x = 6

3x = 6

x = 2.

Number of boys = 10x = 10(2) = 20

Number of girls. = 7x = 7(2) = 14.

Now, we’ve to find the total number is of students.

Total number of students = Number of boys + Number of girls.

Total number of students = 20+14

Total number of students = 34.

Therefore, the total strength of the class is 34.

No. of boys = 20

No. of girls = 14

Step-by-step explanation:

Let us consider,

No. of boys in class = 10x and

No. of girls in class = 7x

The number of boys is 6 more than that of

girls…………. (given)

Therefore,

10x+6 = 7x

10x – 7x = 6

3x = 6

x = 6 /3

x = 2

Therefore,

No. of boys = 10x = 10 × 2 = 20

No. of girls = 7x = 7 × 2 = 14.