Question

28. Ken and Musa shared a cake such that Ken got twice the size

of Musa. What fraction did each get?​

Answer 1

`Musa = (1)/(3)`

`Ken = (2)/(3)`

Step-by-step explanation:

Given

`Ken = 2 * Musa` --- Ken's share

Required

The fraction each got

Since they both shared a cake, we have:

`Ken + Musa = 1`

Substitute:
`Ken = 2 * Musa`

`2 * Musa+ Musa = 1`

Factorize

`Musa(2+ 1)= 1`

`Musa(3)= 1`

Divide both sides by 3

`Musa = (1)/(3)`

Recall that:
`Ken = 2 * Musa`

`Ken = 2 * (1)/(3)`

`Ken = (2)/(3)`