Answer:
[tex]Musa = \frac{1}{3}[/tex]
[tex]Ken = \frac{2}{3}[/tex]
Explanation:
Given
[tex]Ken = 2 * Musa[/tex] --- Ken's share
Required
The fraction each got
Since they both shared a cake, we have:
[tex]Ken + Musa = 1[/tex]
Substitute: [tex]Ken = 2 * Musa[/tex]
[tex]2 * Musa+ Musa = 1[/tex]
Factorize
[tex]Musa(2+ 1)= 1[/tex]
[tex]Musa(3)= 1[/tex]
Divide both sides by 3
[tex]Musa = \frac{1}{3}[/tex]
Recall that: [tex]Ken = 2 * Musa[/tex]
[tex]Ken = 2 * \frac{1}{3}[/tex]
[tex]Ken = \frac{2}{3}[/tex]
