Question

$\text{A cake weighing 8 kg is has to be cut into equal}\text{portions, each weighing}1\frac{1}{3}\text{kg. How many}\text{portions should the cake be divided into ?}$

• A. 6
• B. 4
• C. 5
• D. 3

Answer 1

The correct option is A 6

$\text{Dividing the cake into 3 portions, we get:}$


$\therefore \text{When the cake is divided into 3 equal}$ $\text{portions, each portion weighs}2\frac{2}{3}\text{kg}.$

$\text{Dividing the cake into 4 portions, we get:}$


$\therefore \text{When the cake is divided into 4 equal}$ $\text{portions, each portion weighs}2\text{kg}.$

$\text{Dividing the cake into 5 portions, we get:}$


$\therefore \text{When the cake is divided into 5 equal}$ $\text{portions, each portion weighs}1\frac{3}{5}\text{kg}.$

$\text{Dividing the cake into 6 portions, we get:}$


$\therefore \text{When the cake is divided into 6 equal}$ $\text{portions, each portion weighs}1\frac{1}{3}\text{kg}.$

$\text{Hence, for each portion to weigh}1\frac{1}{3}\text{kg,}\text{the cake should be divided into 6 equal}\text{portions.}$