A carton packed with 2 bags of bread flour weighs 6.73 kg. The same carton when packed with 7 such bags of bread flour weighs 22.38 kg.
- Find the mass of 2 bags of bread flour 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 bread flour be 1 B.
1 C + 2 B = 6.73 --- (1)
1 C + 7 B = 22.38 --- (2)
(2) - (1)
5 B = 22.38 - 6.73
5 B = 15.65
1 B = 15.65 ÷ 5 = 3.13
Mass of 2 bags of bread flour
= 2 x 3.13
= 6.26 kg
(b)
Mass of the empty carton
= 6.73 - 6.26
= 0.47 kg
Answer(s): (a) 6.26 kg; (b) 0.47 kg