Question

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 the lightest of the three pieces weigh?(in g)

Answer 1

Let the three pieces of pizzabe $x,y,z$.

$y-x=7$

$x-z=4$

Now, according to question, we have

$x+y+z=300$

$\Rightarrow 4+z+7+x+z=300$

$\Rightarrow 4+z+7+4+z+z=300$

$\Rightarrow 3z+15=300$

$\Rightarrow 3z=285$

$\Rightarrow z=\frac{285}{3}=95$

$\therefore$ the lightest pizza weighs $z=95g$