The total mass of 5 tanks and 6 boxes was 31.1 kg.
The total mass of 4 tanks and 4 boxes was 22 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)
5 tanks + 6 boxes = 31.1 --- (1)
4 tanks + 4 boxes = 22 --- (2)
(2)
÷ 4 1 tank + 1 box = 5.5 --- (3)
Mass of 1 tank and 1 box = 5.5 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 5.5
5 tanks + 5 boxes = 27.5 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 31.1 - 27.5
5 tanks - 5 tanks + 6 boxes - 5 boxes = 3.6
1 box = 3.6
8 boxes = 3.6 x 8 = 28.8
Mass of 8 boxes = 28.8 kg
(c)
Substitute 1 box = 3.6 into (3).
1 tank + 1 box = 5.5
1 tank + 3.6 = 5.5
1 tank = 5.5 - 3.6 = 1.9
Mass of 1 tank = 1.9 kg
Mass of 1 tank less than 1 box
= 3.6 - 1.9
= 1.7 kg
Answer(s): (a) 5.5 kg; (b) 28.8 kg; (c) 1.7 kg