Question

Vinay bought a pizza and cut it into three pieces. When the 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?

(weight of normal piece be ‘x’ then weight of largest piece is ‘x+ 7’, weight of the smallest piece is ‘x-4’)

Answer 1

If pizza is cut into three pieces. 

Let the weight of first piece he ‘x’ gm say. 

Weight of the second piece = (x + 7) gm 

Weight of the third piece = (x – 4) gm 

According to the sum 

∴ x + (x + 7) + (x – 4) = 300 

⇒ 3x + 3 = 300

⇒ 3x = 300 – 3 = 297 

⇒ x = \(\frac{297}3\) = 99 

∴ x= 99 

x + 7= 99 + 7 =106 

x – 4 = 99 – 4 = 95

∴ The required 3 pieces of pizza weighs 95 gm. 99 gm, 106 gm.