Question

He work done by a man, a woman and a child is in the ratio of 3 : 2 : 1. There are 20 men, 30 women and 48 children in a factory. Their weekly wages amount to rs 840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women and 30 children for 2 weeks?

Answer 1

Ratio of work done = Men : Women : Children = 3 : 2 : 1

Define x:

Let x be the constant ratio

Men : Women : Children = 3x : 2x : 1x

Solve x:

There are 20 men, 30 women and 48 children in the factory

Their weekly wages amount to Rs 840

20(3x) + 30(2x) + 48(1x) = 840

60x + 60x + 48x = 840

168x = 860

x = Rs 5

Find the wages per week:

Men = 3x = 3(5) = Rs 15

Women = 2x = 2(5) = Rs 10

Children = x = Rs 5

Find the wages for 15 men, 21 women and 30 children for 1 week:

Men = 15 x 15 = Rs 225

Women = 21 x 10 = Rs 210

Children = 30 x 5 = Rs 150

Total = 225 + 210 + 150 = Rs 585

Find the wages for 15 men, 21 women and 30 children for 2 week:

One week = Rs 585

Two weeks = 585 x 2 = Rs 1170

Answer: The wages for 15 men, 21 women and 30 children for 2 weeks is Rs 1170

Answer 2

Answer:

Rs 1170.

Step-by-step explanation:

We are given that work done by a man, a woman and a child is in the ratio of 3 : 2 : 1.

Ratio of work done = Men : Women : Children = 3 : 2 : 1

Let x be the constant ratio

So, 1 man = 3x

So, 1 woman = 2x

So, 1 child = x

There are 20 men, 30 women and 48 children in the factory

Their weekly wages amount to Rs 840

So, ATQ

$20(3x) + 30(2x) + 48(1x) = 840$

$60x + 60x + 48x = 840$

$168x = 860$

$x = 5$

Find the wages per week:

Men $= 3x = 3(5) = Rs 15$

Women $= 2x = 2(5) = Rs 10$

Children$= x = Rs 5$

Find the wages for 15 men, 21 women and 30 children for 1 week:

Men $= 15 x 15 = Rs 225$

Women $= 21 x 10 = Rs 210$

Children $= 30 x 5 = Rs 150$

Total wages = 225 + 210 + 150 = Rs 585

Total wages for one week = Rs 585

So,Total wages for two weeks  = 585 x 2 = Rs 1170

Hence The wages for 15 men, 21 women and 30 children for 2 weeks is Rs 1170.