The total mass of 5 tanks and 6 boxes was 22.2 kg.
The total mass of 4 tanks and 4 boxes was 15.6 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 6 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
5 tanks + 6 boxes = 22.2 --- (1)
4 tanks + 4 boxes = 15.6 --- (2)
(2)
÷ 4 1 tank + 1 box = 3.9 --- (3)
Mass of 1 tank and 1 box = 3.9 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 3.9
5 tanks + 5 boxes = 19.5 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 22.2 - 19.5
5 tanks - 5 tanks + 6 boxes - 5 boxes = 2.7
1 box = 2.7
6 boxes = 2.7 x 6 = 16.2
Mass of 6 boxes = 16.2 kg
(c)
Substitute 1 box = 2.7 into (3).
1 tank + 1 box = 3.9
1 tank + 2.7 = 3.9
1 tank = 3.9 - 2.7 = 1.2
Mass of 1 tank = 1.2 kg
Mass of 1 tank less than 1 box
= 2.7 - 1.2
= 1.5 kg
Answer(s): (a) 3.9 kg; (b) 16.2 kg; (c) 1.5 kg