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Số gà là 700 con
Số vịt là 100 con
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Hiệu số con không thay đổi . Hiệu số phần bằng nhau là : 7-3 = 4 ( phần ) Số gà trống lúc đầu là : 52 : 4 x 3 + 10 = 49 con Số gà trong trại lúc đầu là : 52+49+49 = 150 con Đ/s : 150 con
Theo bài ra, ta có: 2/5 nam và 4/7 nữ là 140 bạn hay số bạn nam và 10/7 số bạn nữ là 350 ; và 5/6 nam nhiều hơn 9/14 nữ là 35 bạn hay số bạn nam nhiều hơn 27/35 số bạn nữ là 42 bạn.
Do đó: (10/7 +27/35)số bạn nữ = 11/5 số bạn nữ bằng:
350 - 42 = 308(bạn)
Số bạn nữ là:
308:(11/5) = 140(bạn)
Số bạn nam là:
350 - 140x(10/7)= 150(bạn)
Đáp số: nam: 150 bạn
nữ: 140 bạn
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Theo bài ra \(\frac{2}{5}\)số gà ít hơn \(\frac{2}{3}\)số vịt là 200 con
Vậy, \(\frac{6}{5}\)số gà ít hơn 2 lần số vịt là:
200 x 3 = 600 (con)
Hay \(\frac{3}{5}\)số gà ít hơn vịt là
600 : 2 = 300 con (1)
Mặt khác, \(\frac{3}{4}\)số gà nhiều hơn \(\frac{5}{12}\)số vịt là 125 con
Nên 9 lần số gà nhiều hơn 5 lần số vịt là:
125 x 12 = 1500 (con)
Hay \(\frac{9}{5}\)số gà nhiều hơn số vịt là:
1500 : 5 = 300 con (2)
Từ (1) và (2) ta có:
\(\frac{9}{5}\)số gà nhiều hơn \(\frac{3}{5}\)số gà số con là
300 + 300 = 600 (con)
Phân số chỉ số phần của 600 con gà là:
\(\frac{9}{5}-\frac{3}{5}=\frac{6}{5}\)
Số gà là:
600 x 5 : 6 = 500 (con)
Số vịt là:
3 x 500:5 + 300 = 600 (con)
Đáp số: 500 con gà
600 con vịt
500 con gà
600con vịt
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Gọi số chó là a, số gà là b
Vì 1 con gà có 2 chân, 1 con chó có 4 chân.
Mà số chó hơn số gà 6 chân, số gà hơn số chó 7 con.
=>4a - 2b = 6 và b - a =7
=>2b - 2a =14
=>(4a - 2b) + (2b - 2a) = 6 + 14 = 20
=> 2a = 20
=> a = 10
=> b = 17
Vậy có 10 con chó, có 17 con gà