The total mass of 5 boxes and 6 tanks was 26.3 kg.
The total mass of 6 boxes and 6 tanks was 28.2 kg.
- What is the mass of 1 box and 1 tank?
- What is the mass of 8 tanks?
- How much less is the mass of 1 tank than 1 box?
(a)
5 boxes + 6 tanks = 26.3 --- (1)
6 boxes + 6 tanks = 28.2 --- (2)
(2)
÷ 6 1 box + 1 tank = 4.7 --- (3)
Mass of 1 box and 1 tank = 4.7 kg
(b)
(3) x 5
5 boxes + 5 tanks = 5 x 4.7
5 boxes + 5 tanks = 23.5 --- (4)
(1) - (4)
(5 boxes + 6 tanks) - (5 boxes + 5 tanks) = 26.3 - 23.5
5 boxes - 5 boxes + 6 tanks - 5 tanks = 2.8
1 tank = 2.8
8 tanks = 2.8 x 8 = 22.4
Mass of 8 tanks = 22.4 kg
(c)
Substitute 1 tank = 2.8 into (3).
1 box + 1 tank = 4.7
1 box + 2.8 = 4.7
1 box = 4.7 - 2.8 = 1.9
Mass of 1 box = 1.9 kg
Mass of 1 box less than 1 tank
= 2.8 - 1.9
= 0.9 kg
Answer(s): (a) 4.7 kg; (b) 22.4 kg; (c) 0.9 kg