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Question

There are 1280 people in a stadium. 2/5 of the adults are women and 2/3 of the children are girls. How many girls are there if there are 720 females altogether

Answer

Adults           Children

W : M            G : B

2 : 3.               2 : 1

 

5A + 3C –> 1280 …….x2

10A + 6C –> 2560

2A + 2 C –> 720 …….x5

10A + 10C –> 3600

4C = 3600 – 2560

      = 1040

1C = 1040/4

      = 260

Number of girls = 2C

                              = 2 x 260

                             = 520

 

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Suggested answer:

Assuming total adults = 5 units, 2 unit is woman while 3 unit is man

Assuming total children = 3 parts, 2 part is girl while 1 part is boy

Total people will be,

5 unit + 3 parts = 1280  –> eqn (A)

Total female will be

2 unit + 2 parts = 720.

Therefore 3 unit + 3 part = 1080  —> eqn (B)

Comparing eqn (A) and (B),

2 unit = 200

1 unit = 100

(100 x 2) + 2 parts = 720

2 parts = 520

 

Ans: There are 520 girls.

 

 

 

0 Replies 1 Like
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