mutumaeric443
Answered

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28. Ken and Musa shared a cake such that Ken got twice the size
of Musa. What fraction did each get?​

Sagot :

MrRoyal

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]

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