in a small village there are 4 men for every 3 women and 5 children for every three men how many children are there in the village if it has 531 women
Answers
Answer:
No. of children = 1180
Step-by-step explanation:
Ratio of men to women = 4:3 .........(i)
Ratio of children to men = 5:3 .......(ii)
We know that multiplying a ratio by a constant does not change its value.
Multiply (ii) by 4, we get:
Ratio of children to men = 20:12 ...(iii)
Multiply (i) by 3, we get:
Ratio of men to women = 12:9 ... (iv)
From (iii) and (iv), we get:
Ratio of children to men to women = 20:12:9
Hence, we can assign:
No. of children = 20x
No. of men = 12x
No. of women = 9x
Given: No. of women = 531
=> 9x = 531
=> x = 59
=> No. of children = 20*59 = 1180
Also:
No. of men = 12*59 = 708
Verification:
No. of children = 1180
No. of men = 708
No. of women = 531
Ratio of men to women = 708:531 = 4:3 (dividing by 177)
Ratio of children to men = 1180:708 = 5:3 (dividing by 236)
Verified