B) A farmer has sheeps and cows in the ratio 8:3.i) How many sheeps ha

1.	B) A farmer has sheeps and cows in the ratio 8:3.i) How many sheeps has the farmer, if he has 180 cows?ii) Find the ratio of the number of sheeps to the total number ofanimals the farmer has.iii) Find the ratio of the total number of animals with the farmer to thenumber of cows with him.
Answer» Let number of sheeps = 8x and number of cows = 3x (1) if number of cows = 180 3x = 180 x = 180/3 = 60 Then, Number of sheeps = 8*60 = 480 (2) Number of sheeps = 480 Total animals = 180 + 480 = 660 Ratio = No. of Sheeps/ Total animals = 480/660 = 8/11 or 8:11 (3) Number of cows = 180 Total animals = 180 + 480 = 660 Ratio = Total animals/ No. of cows = 660/180 = 11/3 or 11: 3

B) A farmer has sheeps and cows in the ratio 8:3.i) How many sheeps has the farmer, if he has 180 cows?ii) Find the ratio of the number of sheeps to the total number ofanimals the farmer has.iii) Find the ratio of the total number of animals with the farmer to thenumber of cows with him.

Answer»

Let number of sheeps = 8x and number of cows = 3x

(1) if number of cows = 180 3x = 180 x = 180/3 = 60 Then, Number of sheeps = 8*60 = 480

(2) Number of sheeps = 480 Total animals = 180 + 480 = 660 Ratio = No. of Sheeps/ Total animals = 480/660 = 8/11 or 8:11

(3) Number of cows = 180 Total animals = 180 + 480 = 660 Ratio = Total animals/ No. of cows = 660/180 = 11/3 or 11: 3