The total mass of 3 boxes and 4 tanks was 21.8 kg.
The total mass of 4 boxes and 4 tanks was 23.6 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)
3 boxes + 4 tanks = 21.8 --- (1)
4 boxes + 4 tanks = 23.6 --- (2)
(2)
÷ 4 1 box + 1 tank = 5.9 --- (3)
Mass of 1 box and 1 tank = 5.9 kg
(b)
(3) x 3
3 boxes + 3 tanks = 3 x 5.9
3 boxes + 3 tanks = 17.7 --- (4)
(1) - (4)
(3 boxes + 4 tanks) - (3 boxes + 3 tanks) = 21.8 - 17.7
3 boxes - 3 boxes + 4 tanks - 3 tanks = 4.1
1 tank = 4.1
8 tanks = 4.1 x 8 = 32.8
Mass of 8 tanks = 32.8 kg
(c)
Substitute 1 tank = 4.1 into (3).
1 box + 1 tank = 5.9
1 box + 4.1 = 5.9
1 box = 5.9 - 4.1 = 1.8
Mass of 1 box = 1.8 kg
Mass of 1 box less than 1 tank
= 4.1 - 1.8
= 2.3 kg
Answer(s): (a) 5.9 kg; (b) 32.8 kg; (c) 2.3 kg