Question

· Divide Rs. 850 among 4 girls, 5 boys, and 6 teachers in such a way that the ratio in shares of 1 girl,
1 boy and 1 teacher is 9: 8: 4.
O A. Rs. 306, Rs.340, Rs.204
O B. Rs. 346, Rs.320, Rs.204
O C. Rs. 316, Rs.314, Rs.204
O D. Rs. 306, Rs.300, Rs.200

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Concept:

Basic arithmetic operations are used such as Division, multiplication, Addition, and subtraction.

Given:

We have,

Total money =  Rs. 850,

Number of boys = 5,

Number of girls = 4,

Number of Teachers = 6,

And,

The ratio of shares of 1 girl, 1 boy and 1 teacher is 9: 8:4.

Find:

We are asked to find the shares of girls, boys, and teachers.

Solution:

We have,

Total money =  Rs. 850,

Number of boys = 5,

Number of girls = 4,

Number of Teachers = 6

And,

The ratio of shares of 1 girl, 1 boy, and 1 teacher is 9: 8:4.

Now,

Let,

Share of 1 girl = 9x,

Share of 1 boy = 8x,

and

Share of 1 teacher = 4x,

So,

Share of 4 girls = 36x,

Share of 5 boys = 40x,

and

Share of 6 teachers = 24x,

So,

According to the question,

36x + 40x + 24x = 850

i.e.

100x = 850

We get,

x = 8.50

So,

Share of 4 girls = 36x = 36(8.50) = Rs. 306,

Share of 5 boys = 40x = 40(8.50) = Rs. 340,

and

Share of 6 teachers = 24x = 24(8.50) = Rs. 204,

i.e.

Option A is the correct answer.

Hence, the shares of 4 girls, 5 boys, and 6 teachers is  Rs. 306, Rs.340, and Rs.204.

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