The total mass of 2 tanks and 3 boxes was 21.7 kg.
The total mass of 6 tanks and 6 boxes was 51.6 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)
2 tanks + 3 boxes = 21.7 --- (1)
6 tanks + 6 boxes = 51.6 --- (2)
(2)
÷ 6 1 tank + 1 box = 8.6 --- (3)
Mass of 1 tank and 1 box = 8.6 kg
(b)
(3) x 2
2 tanks + 2 boxes = 2 x 8.6
2 tanks + 2 boxes = 17.2 --- (4)
(1) - (4)
(2 tanks + 3 tanks) - (2 tanks + 2 tanks) = 21.7 - 17.2
2 tanks - 2 tanks + 3 boxes - 2 boxes = 4.5
1 box = 4.5
6 boxes = 4.5 x 6 = 27
Mass of 6 boxes = 27 kg
(c)
Substitute 1 box = 4.5 into (3).
1 tank + 1 box = 8.6
1 tank + 4.5 = 8.6
1 tank = 8.6 - 4.5 = 4.1
Mass of 1 tank = 4.1 kg
Mass of 1 tank less than 1 box
= 4.5 - 4.1
= 0.4 kg
Answer(s): (a) 8.6 kg; (b) 27 kg; (c) 0.4 kg