226k views
2 votes
Balu and Pumba shared 2/3 of a cake. Balu got to eat three times as much cake as Pumba. What fraction of the whole cake did Balu eat?

Pleas answer help and answer correctly.

User Dietra
by
8.1k points

1 Answer

6 votes

Answer:

In fraction, Balu ate 1/2 of the whole cake

Explanation:

Balu and Pumba shared 2/3 of a cake.

Balu eats three times as much cake as Pumba.

So let's take the 2/3 they shared as a whole.

Let's Balu share be x

And pumbs share be y

X = 3y

But x + 3y = 2/3

Since x = 3y

Y = x/3

x + x/3 = 2/3

4x/3 = 2/3

X = (2*3)/(4*3)

X = 2/4

X = 1/2

Balu ate half of the whole cake

In fraction, Balu ate 1/2 of the whole cake

User Tom Stein
by
9.0k points