A carton packed with 3 bags of chicken powder weighs 10.28 kg. The same carton when packed with 14 such bags of chicken powder weighs 26.01 kg.
- Find the mass of 3 bags of chicken powder 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 chicken powder be 1 B.
1 C + 3 B = 10.28 --- (1)
1 C + 14 B = 26.01 --- (2)
(2) - (1)
11 B = 26.01 - 10.28
11 B = 15.73
1 B = 15.73 ÷ 11 = 1.43
Mass of 3 bags of chicken powder
= 3 x 1.43
= 4.29 kg
(b)
Mass of the empty carton
= 10.28 - 4.29
= 5.99 kg
Answer(s): (a) 4.29 kg; (b) 5.99 kg