A carton packed with 2 packets of sugar weighs 5.38 kg. The same carton when packed with 13 such packets of sugar weighs 21.11 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 box of sugar be 1 B.
1 C + 2 B = 5.38 --- (1)
1 C + 13 B = 21.11 --- (2)
(2) - (1)
11 B = 21.11 - 5.38
11 B = 15.73
1 B = 15.73 ÷ 11 = 1.43
Mass of 2 packets of sugar
= 2 x 1.43
= 2.86 kg
(b)
Mass of the empty carton
= 5.38 - 2.86
= 2.52 kg
Answer(s): (a) 2.86 kg; (b) 2.52 kg