Question

A packet of sweets was distributed among $20$ children and each of them received $4$ sweets. How many sweets will each child get, if the number of children is reduced by $4$?

Answer 1

Let,

$x_1=20$ and $y_1=4$

$x_2=16$ and $y_2=?$

Since $x$ and $y$ are in inverse proportion.

$x_1{y}_1=x_2{y}_2\Rightarrow 20\times 4=16\times y_2$

$\Rightarrow y_2=\frac{20\times 4}{16}$

$\Rightarrow y_2=5$

$\therefore$ Each child will get $5$ sweets.