A container packed with 3 bags of bread flour weighs 6.48 kg. The same container when packed with 14 such bags of bread flour weighs 29.91 kg.
- Find the mass of 3 bags of bread 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 bread flour be 1 P.
1 C + 3 P = 6.48 --- (1)
1 C + 14 P = 29.91 --- (2)
(2) - (1)
11 P = 29.91 - 6.48
11 P = 23.43
1 P = 23.43 ÷ 11 = 2.13
Mass of 3 bags of bread flour
= 3 x 2.13
= 6.39 kg
(b)
Mass of the empty container
= 6.48 - 6.39
= 0.090000000000001 kg
Answer(s): (a) 6.39 kg; (b) 0.090000000000001 kg