Question

On a farm the number of cows and the number of sheep are in the tatio 6:5 the number of sheep and the number of pigs are in the ratio 2:1 the total number is 189 how many sheep are there on the farm?

Answer 1

Answer:

There are 70 sheep in the farm.

Step-by-step explanation:

Consider the provided information.

Let c represents the cows, s represents the sheep and p represents the pigs.

The number of cows and the number of sheep are in the ratio 6:5.

$\dfrac{c}{s} =\dfrac{6}{5}$

$c =\dfrac{6s}{5}$

The number of sheep and the number of pigs are in the ratio 2:1.

$\dfrac{s}{p} =\dfrac{2}{1}$

$p =\dfrac{s}{2}$

The total number is 189.

$c+s+p=189$

Substitute the value of c and p in above.

$\dfrac{6s}{5}+s+\dfrac{s}{2}=189$

$\dfrac{12s+10s+5s}{10}=189$

$27s=1890$

$s=70$

Hence, there are 70 sheep in the farm.