The total mass of 4 tanks and 5 boxes was 34.1 kg.
The total mass of 6 tanks and 6 boxes was 43.8 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 5 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
4 tanks + 5 boxes = 34.1 --- (1)
6 tanks + 6 boxes = 43.8 --- (2)
(2)
÷ 6 1 tank + 1 box = 7.3 --- (3)
Mass of 1 tank and 1 box = 7.3 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 7.3
4 tanks + 4 boxes = 29.2 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 34.1 - 29.2
4 tanks - 4 tanks + 5 boxes - 4 boxes = 4.9
1 box = 4.9
5 boxes = 4.9 x 5 = 24.5
Mass of 5 boxes = 24.5 kg
(c)
Substitute 1 box = 4.9 into (3).
1 tank + 1 box = 7.3
1 tank + 4.9 = 7.3
1 tank = 7.3 - 4.9 = 2.4
Mass of 1 tank = 2.4 kg
Mass of 1 tank less than 1 box
= 4.9 - 2.4
= 2.5 kg
Answer(s): (a) 7.3 kg; (b) 24.5 kg; (c) 2.5 kg