Divide 380 among Anita, Sunita and Kavita such that the shares of Anit

1.	Divide 380 among Anita, Sunita and Kavita such that the shares of Anita and Sunita are inthe ratio 1 : 2 and that of Sunita and Kavita are in the ratio 3 : 5, c 2
Answer» A : B = 1 : 2 B : C= 3 : 5 Suppose a,b,c is x,y,z respectively So x + y+ z = 380 x : y = 1 :2 x = y/2 y : z = 3 : 5 z = 5y / 3 So set up the equation x +y +z = 380 y / 2 + y + 5y / 3 19y / 6 = 380 y = 120 x = y/2 x = 120 / 2 x = 60 z = 5y / 3z = 5 * 120 / 3 z = 200 So 60 + 120 + 200 = 380

Divide 380 among Anita, Sunita and Kavita such that the shares of Anita and Sunita are inthe ratio 1 : 2 and that of Sunita and Kavita are in the ratio 3 : 5, c 2

Answer»

A : B = 1 : 2

B : C= 3 : 5

Suppose a,b,c is x,y,z respectively

So x + y+ z = 380

x : y = 1 :2

x = y/2

y : z = 3 : 5

z = 5y / 3

So set up the equation

x +y +z = 380

y / 2 + y + 5y / 3

19y / 6 = 380

y = 120

x = y/2

x = 120 / 2

x = 60

z = 5y / 3z = 5 * 120 / 3

z = 200

So 60 + 120 + 200 = 380