The total mass of 2 boxes and 3 tanks was 13.5 kg.
The total mass of 6 boxes and 6 tanks was 30.6 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)
2 boxes + 3 tanks = 13.5 --- (1)
6 boxes + 6 tanks = 30.6 --- (2)
(2)
÷ 6 1 box + 1 tank = 5.1 --- (3)
Mass of 1 box and 1 tank = 5.1 kg
(b)
(3) x 2
2 boxes + 2 tanks = 2 x 5.1
2 boxes + 2 tanks = 10.2 --- (4)
(1) - (4)
(2 boxes + 3 tanks) - (2 boxes + 2 tanks) = 13.5 - 10.2
2 boxes - 2 boxes + 3 tanks - 2 tanks = 3.3
1 tank = 3.3
5 tanks = 3.3 x 5 = 16.5
Mass of 5 tanks = 16.5 kg
(c)
Substitute 1 tank = 3.3 into (3).
1 box + 1 tank = 5.1
1 box + 3.3 = 5.1
1 box = 5.1 - 3.3 = 1.8
Mass of 1 box = 1.8 kg
Mass of 1 box less than 1 tank
= 3.3 - 1.8
= 1.5 kg
Answer(s): (a) 5.1 kg; (b) 16.5 kg; (c) 1.5 kg