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1051 – 457 = 594 (2/3 goats and 2/3 of ducks sold)
(594/2) x 3 = 891 (goats and duck at first)
1051 – 891 = 160 (chickens)

number of chickens : number of ducks
5 : 3
15u : 9u

15u ——- 160
15u + 9u = 24u ——- (160/15) x 24 = 256
1051 – 256 = 795

Ans : 795 ducks.

0 Replies 2 Likes ✔Accepted Answer
  Chicken Duck Goat Total
At first 5u 3u 3p 8u + 3p = 1051
Sold 2/3 ducks, 2/3 goats 0 -2u -2p  
In the end 5u u p 6u + p = 457

6u + p = 457

p = (457 – 6u)

8u + 3p = 1051

8u + 3(457 – 6u) = 1051

10u = 320

u = 32

At first, Chicken+Duck -> 8u = 256

Number of goats at first -> 1051 – 256 = 795

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u = 32

At first

Chickens -> 5u = 160

Ducks -> 3u = 96

Goats -> 795

Sold 2/3 chicken, remaining -> 1/3 × 96 = 32

Sold 2/3 goats, remaining -> 1/3 × 795 = 265

160 + 32 + 265 = 457

Checked

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