Question

The weights of five cartons of books are in the ratio $2:3:4:5:6.$ If their total weight is $400kg$, find the weight of each carton.

Answer 1

Let the weight of each carton be $2x,3x,4x,5x,6x$ respectively. Since the total weight is given as 400 kg, then,

$2x+3x+4x+5x+6x=400$

$20x=400$

$x=20kg$

Therefore,

Weight of the first carton is $2\ast 20=40kg$.

Weight of the second carton is $3\ast 20=60kg$.

Weight of the third carton is $4\ast 20=80kg$.

Weight of the fourth carton is $5\ast 20=100kg$.

Weight of the fifth carton is $6\ast 20=120kg$.