The total mass of 4 tanks and 5 boxes was 43.3 kg.
The total mass of 6 tanks and 6 boxes was 57.6 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)
4 tanks + 5 boxes = 43.3 --- (1)
6 tanks + 6 boxes = 57.6 --- (2)
(2)
÷ 6 1 tank + 1 box = 9.6 --- (3)
Mass of 1 tank and 1 box = 9.6 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 9.6
4 tanks + 4 boxes = 38.4 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 43.3 - 38.4
4 tanks - 4 tanks + 5 boxes - 4 boxes = 4.9
1 box = 4.9
8 boxes = 4.9 x 8 = 39.2
Mass of 8 boxes = 39.2 kg
(c)
Substitute 1 box = 4.9 into (3).
1 tank + 1 box = 9.6
1 tank + 4.9 = 9.6
1 tank = 9.6 - 4.9 = 4.7
Mass of 1 tank = 4.7 kg
Mass of 1 tank less than 1 box
= 4.9 - 4.7
= 0.2 kg
Answer(s): (a) 9.6 kg; (b) 39.2 kg; (c) 0.2 kg