During our campaign against child labour we have found that in three ice making factories A, B and C there were total 33 children aged below 18 were involved. The ratio of male to female in A, B and C was 4:3, 3:2 and 5 : 4 respectively. If the no. Of female children working in the factories B and C be equal then find the no. Of female children working in factory A:â€‹

We have,

The number of male and female in factories A, B & C are:

Male        Female

A:      4x                3x

B:      3y               2y

C:      5z               4z

Also given that,

No. of female children in B = No. of female children in C

⇒ 2y = 4z

⇒ y = 2z

Now,

Total no. of children in factories A, B & C = 33

⇒ [4x + 3x] + [3y + 2y] + [5z + 4z] = 33

⇒ [7x] + [3(2z) + 2(2z)] + [9z] = 33

⇒ 7x + 6z + 4z + 9z = 33

⇒ 7x + 19z = 33

the only value possible for z is 1

⇒ 7x + (19×1) = 33

⇒ 7x + 19 = 33

⇒ 7x = 33 - 19

⇒ 7x = 14

⇒ x = 2

∴ No. of female children working in factory A = 3x = 3 × 2 = 6

Thus, the no. of female children working in factory A is 6.

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