Question 2237
Value of a share of Company X = X
Value of a share of Company Y = Y

Eqn for Bob's holdings is
8000X + 6000Y = 680000

Dividing the above eqn by 2000 gives
4X + 3Y = 340  --- (1)

Eqn for Frank's holdings is
2000X + 10000Y = 680000

Dividing the above eqn by 2000 gives
X + 5Y = 340  --- (2)


b) Solving for X and Y
Eqn(2) x 4 gives
4X + 20 Y = 1360 --- (3)

Eqn(3) - Eqn(1) gives
17Y = 1020 => Y = 60

Substitute the value of Y = 60 in eqn(2) gives
X + 5.60 = 340
X = 340 - 300 = 40


X = 40,  Y = 60