Question

55 cows can graze a field in 16 days how many cows will graze the same field in 10 days plz plz give answer in proper detail

Answer 1

let the area of the total field be F

given 55 cows eat the field in 16 days

⇒ 55 cows eat an area of F/16 in one day

inorder to eat the field in 10 days the cows must eat an area of F/10 daily

⇒ 55 cows eat an area of F/16 in one day

⇒ 55 × (16/10) cows eat an area of F/16 × (16/10) in one day

⇒ 88 cows eat an area of F/10 in one day

⇒ 88 cows eat an area of F in 10 days

Answer 2

Hope u like my process
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$\: \: \: \bf \underline{number \: \: of \: \: days} \: \: \: \: \: \: \: \: \: \: \: \underline{number \: \: of \: \: cows} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 16 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 55 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ?$

=> Here, number of cows⬆️ and number of days⬇️ are inversely related

=> Let the required number of cows be x

So,
$= > 10 \times x = 16 \times 55 \\ \\ = > \bf x = \frac{16}{10} \times 55 = \underline{ 88}$

So the required number of cows are 88.
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