Question

It takes 32 days For 10 goats or 12 sheeps to graze a field. How long Will 10 goats and 4 sheeps take to graze the same field?​

Answer 1

`\huge\fbox{Answer ☘}`

`part \: of \: field \: \: grazed \: by \: 10 \: goats \\ in \: 1 \: day = (1)/(32) \\ \\ part \: of \: field \: grazed \: by \: 1 \: goat \: im \: \\ 1 \: day = (1)/(32 * 10) = (1)/(320) \\ \\ now... \: 12g = 10s \\ (g = goats) \: \\ (s = sheeps )\\ \\ 12g = 10s \\ = > g = (10)/(12)s \\ \\ now.. \\ 10g + 4s = 10 ((10)/(12))s + 4s \\ \\ = > (100s)/(12) + 4s \\ \\ taking \: l.c.m... \\ \\ = > (100s + 48s)/(12) = (148s)/(12)`

=> 10g + 4s ≈ 12 goats

12 goats can graze the field in

`= > (1)/(12/320) ≈ 27 \: days \\`

hope helpful~