The total mass of 3 boxes and 4 tanks was 33.3 kg.
The total mass of 6 boxes and 6 tanks was 57 kg.
- What is the mass of 1 box and 1 tank?
- What is the mass of 5 tanks?
- How much less is the mass of 1 tank than 1 box?
(a)
3 boxes + 4 tanks = 33.3 --- (1)
6 boxes + 6 tanks = 57 --- (2)
(2)
÷ 6 1 box + 1 tank = 9.5 --- (3)
Mass of 1 box and 1 tank = 9.5 kg
(b)
(3) x 3
3 boxes + 3 tanks = 3 x 9.5
3 boxes + 3 tanks = 28.5 --- (4)
(1) - (4)
(3 boxes + 4 tanks) - (3 boxes + 3 tanks) = 33.3 - 28.5
3 boxes - 3 boxes + 4 tanks - 3 tanks = 4.8
1 tank = 4.8
5 tanks = 4.8 x 5 = 24
Mass of 5 tanks = 24 kg
(c)
Substitute 1 tank = 4.8 into (3).
1 box + 1 tank = 9.5
1 box + 4.8 = 9.5
1 box = 9.5 - 4.8 = 4.7
Mass of 1 box = 4.7 kg
Mass of 1 box less than 1 tank
= 4.8 - 4.7
= 0.1 kg
Answer(s): (a) 9.5 kg; (b) 24 kg; (c) 0.1 kg