A carton packed with 2 bags of sugar weighs 9.24 kg. The same carton when packed with 10 such bags of sugar weighs 22.84 kg.
- Find the mass of 2 bags 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 bag of sugar be 1 B.
1 C + 2 B = 9.24 --- (1)
1 C + 10 B = 22.84 --- (2)
(2) - (1)
8 B = 22.84 - 9.24
8 B = 13.6
1 B = 13.6 ÷ 8 = 1.7
Mass of 2 bags of sugar
= 2 x 1.7
= 3.4 kg
(b)
Mass of the empty carton
= 9.24 - 3.4
= 5.84 kg
Answer(s): (a) 3.4 kg; (b) 5.84 kg