The total mass of 4 tanks and 5 boxes was 37.5 kg.
The total mass of 6 tanks and 6 boxes was 49.2 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 = 37.5 --- (1)
6 tanks + 6 boxes = 49.2 --- (2)
(2)
÷ 6 1 tank + 1 box = 8.2 --- (3)
Mass of 1 tank and 1 box = 8.2 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 8.2
4 tanks + 4 boxes = 32.8 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 37.5 - 32.8
4 tanks - 4 tanks + 5 boxes - 4 boxes = 4.7
1 box = 4.7
8 boxes = 4.7 x 8 = 37.6
Mass of 8 boxes = 37.6 kg
(c)
Substitute 1 box = 4.7 into (3).
1 tank + 1 box = 8.2
1 tank + 4.7 = 8.2
1 tank = 8.2 - 4.7 = 3.5
Mass of 1 tank = 3.5 kg
Mass of 1 tank less than 1 box
= 4.7 - 3.5
= 1.2 kg
Answer(s): (a) 8.2 kg; (b) 37.6 kg; (c) 1.2 kg