A container packed with 3 packets of sugar weighs 6.61 kg. The same container when packed with 14 such packets of sugar weighs 24.43 kg.
- Find the mass of 3 packets of sugar 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 sugar be 1 P.
1 C + 3 P = 6.61 --- (1)
1 C + 14 P = 24.43 --- (2)
(2) - (1)
11 P = 24.43 - 6.61
11 P = 17.82
1 P = 17.82 ÷ 11 = 1.62
Mass of 3 packets of sugar
= 3 x 1.62
= 4.86 kg
(b)
Mass of the empty container
= 6.61 - 4.86
= 1.75 kg
Answer(s): (a) 4.86 kg; (b) 1.75 kg