A crate packed with 2 packets of sugar weighs 8.35 kg. The same crate when packed with 11 such packets of sugar weighs 24.82 kg.
- Find the mass of 2 packets of sugar in kg.
- Find the mass of the empty crate in kg.
(a)
Let the mass of 1 crate be 1 C.
Let the mass of 1 box of sugar be 1 B.
1 C + 2 B = 8.35 --- (1)
1 C + 11 B = 24.82 --- (2)
(2) - (1)
9 B = 24.82 - 8.35
9 B = 16.47
1 B = 16.47 ÷ 9 = 1.83
Mass of 2 packets of sugar
= 2 x 1.83
= 3.66 kg
(b)
Mass of the empty crate
= 8.35 - 3.66
= 4.69 kg
Answer(s): (a) 3.66 kg; (b) 4.69 kg