Quintuplets

The quintuplets (Ela, Hela, Jela, Žela, and their brother Belo) wanted to divide a round cake fairly among themselves. As they could not cut it into five equal parts, Belo suggested to his sisters: "Divide the cake among the four of you into equal parts. Then each of you gives me a piece from her portion so that in the end we all have an equal part of the cake."

a) What part of the entire cake will each sister give to Belo?
b) What part of her portion will each sister give to Belo?

Note: give the results as fractions in basic form.

Final Answer:

a =  1/20
b =  0.2

Step-by-step explanation:

1/4 - a = 1/5

20a = 1


a = 1/20 = 0.05

a = 1/20 = 0.05

Our simple equation calculator calculates it.

$b=a/\frac{1}{4}=0.05/\frac{1}{4}=\frac{1}{5}=0.2$

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