A container packed with 2 bags of bread flour weighs 8.34 kg. The same container when packed with 7 such bags of bread flour weighs 27.14 kg.
- Find the mass of 2 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 box of bread flour be 1 B.
1 C + 2 B = 8.34 --- (1)
1 C + 7 B = 27.14 --- (2)
(2) - (1)
5 B = 27.14 - 8.34
5 B = 18.8
1 B = 18.8 ÷ 5 = 3.76
Mass of 2 bags of bread flour
= 2 x 3.76
= 7.52 kg
(b)
Mass of the empty container
= 8.34 - 7.52
= 0.82 kg
Answer(s): (a) 7.52 kg; (b) 0.82 kg