Question

Ankan bought a pizza and cut it into three pieces. He found the first piece is 5 g ligher than the second piece. He also found that the third piece is four times heavier than the second piece. If the whole pizza weighed 355 g, then find the weight of the three pieces.

• A. 55 g, 60 g, 240 g
• B. 25 g, 30 g, 120 g
• C. 35 g, 40 g, 160 g
• D. 30 g, 35 g, 140 g

Answer 1

The correct option is A 55 g, 60 g, 240 g

Let the weight of the second piece is $x$ g.

Therefore, the weight of the first piece is $x-5$ g and the weight of the third piece is $4x$ g.

The total weight of the pizza is 355 g.

$\Rightarrow (x-5)+x+4x=355\Rightarrow 6x-5=355\Rightarrow 6x=355+5\Rightarrow 6x=360\Rightarrow x=\frac{360}{6}\Rightarrow x=60$

$\therefore$ Weight of the second piece is 60 g.
So, the weight of the first and third pieces are $x-5=60-5=55$ g and $4x=4\times 60=240$ g respectively.