A carton packed with 4 packets of sugar weighs 7.08 kg. The same carton when packed with 15 such packets of sugar weighs 25.67 kg.
- Find the mass of 4 packets of sugar 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 bag of sugar be 1 B.
1 C + 4 B = 7.08 --- (1)
1 C + 15 B = 25.67 --- (2)
(2) - (1)
11 B = 25.67 - 7.08
11 B = 18.59
1 B = 18.59 ÷ 11 = 1.69
Mass of 4 packets of sugar
= 4 x 1.69
= 6.76 kg
(b)
Mass of the empty carton
= 7.08 - 6.76
= 0.32 kg
Answer(s): (a) 6.76 kg; (b) 0.32 kg