The total mass of 3 boxes and 4 tanks was 19.3 kg.
The total mass of 5 boxes and 5 tanks was 27.5 kg.
- What is the mass of 1 box and 1 tank?
- What is the mass of 6 tanks?
- How much less is the mass of 1 tank than 1 box?
(a)
3 boxes + 4 tanks = 19.3 --- (1)
5 boxes + 5 tanks = 27.5 --- (2)
(2)
÷ 5 1 box + 1 tank = 5.5 --- (3)
Mass of 1 box and 1 tank = 5.5 kg
(b)
(3) x 3
3 boxes + 3 tanks = 3 x 5.5
3 boxes + 3 tanks = 16.5 --- (4)
(1) - (4)
(3 boxes + 4 tanks) - (3 boxes + 3 tanks) = 19.3 - 16.5
3 boxes - 3 boxes + 4 tanks - 3 tanks = 2.8
1 tank = 2.8
6 tanks = 2.8 x 6 = 16.8
Mass of 6 tanks = 16.8 kg
(c)
Substitute 1 tank = 2.8 into (3).
1 box + 1 tank = 5.5
1 box + 2.8 = 5.5
1 box = 5.5 - 2.8 = 2.7
Mass of 1 box = 2.7 kg
Mass of 1 box less than 1 tank
= 2.8 - 2.7
= 0.1 kg
Answer(s): (a) 5.5 kg; (b) 16.8 kg; (c) 0.1 kg