The total mass of 2 tanks and 3 boxes was 16.2 kg.
The total mass of 4 tanks and 4 boxes was 24.8 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 8 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
2 tanks + 3 boxes = 16.2 --- (1)
4 tanks + 4 boxes = 24.8 --- (2)
(2)
÷ 4 1 tank + 1 box = 6.2 --- (3)
Mass of 1 tank and 1 box = 6.2 kg
(b)
(3) x 2
2 tanks + 2 boxes = 2 x 6.2
2 tanks + 2 boxes = 12.4 --- (4)
(1) - (4)
(2 tanks + 3 tanks) - (2 tanks + 2 tanks) = 16.2 - 12.4
2 tanks - 2 tanks + 3 boxes - 2 boxes = 3.8
1 box = 3.8
8 boxes = 3.8 x 8 = 30.4
Mass of 8 boxes = 30.4 kg
(c)
Substitute 1 box = 3.8 into (3).
1 tank + 1 box = 6.2
1 tank + 3.8 = 6.2
1 tank = 6.2 - 3.8 = 2.4
Mass of 1 tank = 2.4 kg
Mass of 1 tank less than 1 box
= 3.8 - 2.4
= 1.4 kg
Answer(s): (a) 6.2 kg; (b) 30.4 kg; (c) 1.4 kg