A crate packed with 2 packets of sugar weighs 8.53 kg. The same crate when packed with 10 such packets of sugar weighs 25.17 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 = 8.53 --- (1)
1 C + 10 B = 25.17 --- (2)
(2) - (1)
8 B = 25.17 - 8.53
8 B = 16.64
1 B = 16.64 ÷ 8 = 2.08
Mass of 2 packets of sugar
= 2 x 2.08
= 4.16 kg
(b)
Mass of the empty crate
= 8.53 - 4.16
= 4.37 kg
Answer(s): (a) 4.16 kg; (b) 4.37 kg