A carton packed with 2 packets of bread flour weighs 8.29 kg. The same carton when packed with 11 such packets of bread flour weighs 24.85 kg.
- Find the mass of 2 packets 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 = 8.29 --- (1)
1 C + 11 B = 24.85 --- (2)
(2) - (1)
9 B = 24.85 - 8.29
9 B = 16.56
1 B = 16.56 ÷ 9 = 1.84
Mass of 2 packets of bread flour
= 2 x 1.84
= 3.68 kg
(b)
Mass of the empty carton
= 8.29 - 3.68
= 4.61 kg
Answer(s): (a) 3.68 kg; (b) 4.61 kg