Vinay bought a pizza and cut it into three pieces. When he weighed the first piece he found that it was 7g lighter than the second piece and 4g heavier than the third piece. If the whole pizza weighed 300g. How much did each of the three pieces weigh?

(Hint: weight of first piece be ‘x’ then weight of second piece is ‘x + 7’, weight of the third piece is ‘x - 4’)

Let the weight of the first piece of pizza be x g.

The first piece is 7g lighter than the second piece.

∴ The weight of the second piece of pizza = (x + 7) g.

The first piece is 4g heavier than the third piece.

∴ The weight of the third piece of pizza = (x – 4) g.

The total weight of the pizza = 300g.

According to the given condition,

x + (x + 7) + (x – 4) = 300

⇒ x + x + 7 + x – 4 = 300

3x + 3 = 300

⇒ 3x = 300 – 3 (Transposing 3 to RHS)

3x = 297

⇒ x = (Transposing 3 to RHS)

x = 99

The weight of the first piece = x = 99g.

The weight of the second piece = x + 7 = 99 + 7 = 106g.

The weight of the third piece = x – 4 = 99 – 4 = 95g.

∴ The weights of the three pieces of pizza are 95g, 99g and 106g.