Question

The weight of four boxes together is $66.5kg.$ The weight of box $B$ is $2kg$ less than box. A and the weight of box $C$ is $1.5kg$ more than box $C$, find the weight of each box

Answer 1

From the given data we can write

$B=A-2$

$C=A+1.5$

$D=C+1.5=A+1.5+1.5=A+3$
We have $A+B+C+D=66.5$

$\Rightarrow A+A-2+A+1.5+A+3=66.5$

$\Rightarrow 4A=64$

$\Rightarrow A=16$
Therefore box $A$ weighs $16kg$, box $B$ weighs $16-2=14kg$, box $C$ weighs $16+1.5=17.5kg$ and box $D$ weighs $16+3=19kg$

Hence $A$ weighs $16kg$

$B$ weighs $14kg$

$C$ weighs $17.5kg$

$D$ weighs $19kg$