The total mass of 5 boxes and 6 tanks was 26.7 kg.
The total mass of 6 boxes and 6 tanks was 28.8 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)
5 boxes + 6 tanks = 26.7 --- (1)
6 boxes + 6 tanks = 28.8 --- (2)
(2)
÷ 6 1 box + 1 tank = 4.8 --- (3)
Mass of 1 box and 1 tank = 4.8 kg
(b)
(3) x 5
5 boxes + 5 tanks = 5 x 4.8
5 boxes + 5 tanks = 24 --- (4)
(1) - (4)
(5 boxes + 6 tanks) - (5 boxes + 5 tanks) = 26.7 - 24
5 boxes - 5 boxes + 6 tanks - 5 tanks = 2.7
1 tank = 2.7
6 tanks = 2.7 x 6 = 16.2
Mass of 6 tanks = 16.2 kg
(c)
Substitute 1 tank = 2.7 into (3).
1 box + 1 tank = 4.8
1 box + 2.7 = 4.8
1 box = 4.8 - 2.7 = 2.1
Mass of 1 box = 2.1 kg
Mass of 1 box less than 1 tank
= 2.7 - 2.1
= 0.6 kg
Answer(s): (a) 4.8 kg; (b) 16.2 kg; (c) 0.6 kg