The total mass of 2 boxes and 3 tanks was 16.4 kg.
The total mass of 4 boxes and 4 tanks was 24 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)
2 boxes + 3 tanks = 16.4 --- (1)
4 boxes + 4 tanks = 24 --- (2)
(2)
÷ 4 1 box + 1 tank = 6 --- (3)
Mass of 1 box and 1 tank = 6 kg
(b)
(3) x 2
2 boxes + 2 tanks = 2 x 6
2 boxes + 2 tanks = 12 --- (4)
(1) - (4)
(2 boxes + 3 tanks) - (2 boxes + 2 tanks) = 16.4 - 12
2 boxes - 2 boxes + 3 tanks - 2 tanks = 4.4
1 tank = 4.4
6 tanks = 4.4 x 6 = 26.4
Mass of 6 tanks = 26.4 kg
(c)
Substitute 1 tank = 4.4 into (3).
1 box + 1 tank = 6
1 box + 4.4 = 6
1 box = 6 - 4.4 = 1.6
Mass of 1 box = 1.6 kg
Mass of 1 box less than 1 tank
= 4.4 - 1.6
= 2.8 kg
Answer(s): (a) 6 kg; (b) 26.4 kg; (c) 2.8 kg