A carton packed with 3 packets of rice flour weighs 8.59 kg. The same carton when packed with 15 such packets of rice flour weighs 21.43 kg.
- Find the mass of 3 packets of rice 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 rice flour be 1 B.
1 C + 3 B = 8.59 --- (1)
1 C + 15 B = 21.43 --- (2)
(2) - (1)
12 B = 21.43 - 8.59
12 B = 12.84
1 B = 12.84 ÷ 12 = 1.07
Mass of 3 packets of rice flour
= 3 x 1.07
= 3.21 kg
(b)
Mass of the empty carton
= 8.59 - 3.21
= 5.38 kg
Answer(s): (a) 3.21 kg; (b) 5.38 kg