A container packed with 4 bags of flour weighs 10.49 kg. The same container when packed with 14 such bags of flour weighs 29.29 kg.
- Find the mass of 4 bags of flour in kg.
- Find the mass of the empty container in kg.
(a)
Let the mass of 1 container be 1 C.
Let the mass of 1 packet of flour be 1 P.
1 C + 4 P = 10.49 --- (1)
1 C + 14 P = 29.29 --- (2)
(2) - (1)
10 P = 29.29 - 10.49
10 P = 18.8
1 P = 18.8 ÷ 10 = 1.88
Mass of 4 bags of flour
= 4 x 1.88
= 7.52 kg
(b)
Mass of the empty container
= 10.49 - 7.52
= 2.97 kg
Answer(s): (a) 7.52 kg; (b) 2.97 kg