A carton packed with 2 packets of sugar weighs 7.82 kg. The same carton when packed with 9 such packets of sugar weighs 21.82 kg.
- Find the mass of 2 packets of sugar in kg.
- Find the mass of the empty carton in kg.
(a)
Let the mass of 1 carton be 1 C.
Let the mass of 1 packet of sugar be 1 P.
1 C + 2 P = 7.82 --- (1)
1 C + 9 P = 21.82 --- (2)
(2) - (1)
7 P = 21.82 - 7.82
7 P = 14
1 P = 14 ÷ 7 = 2
Mass of 2 packets of sugar
= 2 x 2
= 4 kg
(b)
Mass of the empty carton
= 7.82 - 4
= 3.82 kg
Answer(s): (a) 4 kg; (b) 3.82 kg