The total mass of 3 tanks and 4 boxes was 27 kg.
The total mass of 6 tanks and 6 boxes was 45.6 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)
3 tanks + 4 boxes = 27 --- (1)
6 tanks + 6 boxes = 45.6 --- (2)
(2)
÷ 6 1 tank + 1 box = 7.6 --- (3)
Mass of 1 tank and 1 box = 7.6 kg
(b)
(3) x 3
3 tanks + 3 boxes = 3 x 7.6
3 tanks + 3 boxes = 22.8 --- (4)
(1) - (4)
(3 tanks + 4 tanks) - (3 tanks + 3 tanks) = 27 - 22.8
3 tanks - 3 tanks + 4 boxes - 3 boxes = 4.2
1 box = 4.2
8 boxes = 4.2 x 8 = 33.6
Mass of 8 boxes = 33.6 kg
(c)
Substitute 1 box = 4.2 into (3).
1 tank + 1 box = 7.6
1 tank + 4.2 = 7.6
1 tank = 7.6 - 4.2 = 3.4
Mass of 1 tank = 3.4 kg
Mass of 1 tank less than 1 box
= 4.2 - 3.4
= 0.8 kg
Answer(s): (a) 7.6 kg; (b) 33.6 kg; (c) 0.8 kg