A carton packed with 2 packets of flour weighs 10.49 kg. The same carton when packed with 13 such packets of flour weighs 22.15 kg.
- Find the mass of 2 packets of 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 flour be 1 B.
1 C + 2 B = 10.49 --- (1)
1 C + 13 B = 22.15 --- (2)
(2) - (1)
11 B = 22.15 - 10.49
11 B = 11.66
1 B = 11.66 ÷ 11 = 1.06
Mass of 2 packets of flour
= 2 x 1.06
= 2.12 kg
(b)
Mass of the empty carton
= 10.49 - 2.12
= 8.37 kg
Answer(s): (a) 2.12 kg; (b) 8.37 kg