A carton packed with 2 packets of sugar weighs 8.17 kg. The same carton when packed with 12 such packets of sugar weighs 27.67 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 bag of sugar be 1 B.
1 C + 2 B = 8.17 --- (1)
1 C + 12 B = 27.67 --- (2)
(2) - (1)
10 B = 27.67 - 8.17
10 B = 19.5
1 B = 19.5 ÷ 10 = 1.95
Mass of 2 packets of sugar
= 2 x 1.95
= 3.9 kg
(b)
Mass of the empty carton
= 8.17 - 3.9
= 4.27 kg
Answer(s): (a) 3.9 kg; (b) 4.27 kg