A carton packed with 3 packets of pepper weighs 7.22 kg. The same carton when packed with 13 such packets of pepper weighs 26.12 kg.
- Find the mass of 3 packets of pepper 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 pepper be 1 B.
1 C + 3 B = 7.22 --- (1)
1 C + 13 B = 26.12 --- (2)
(2) - (1)
10 B = 26.12 - 7.22
10 B = 18.9
1 B = 18.9 ÷ 10 = 1.89
Mass of 3 packets of pepper
= 3 x 1.89
= 5.67 kg
(b)
Mass of the empty carton
= 7.22 - 5.67
= 1.55 kg
Answer(s): (a) 5.67 kg; (b) 1.55 kg