The total mass of 5 tanks and 6 boxes was 45.8 kg.
The total mass of 4 tanks and 4 boxes was 32.8 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)
5 tanks + 6 boxes = 45.8 --- (1)
4 tanks + 4 boxes = 32.8 --- (2)
(2)
÷ 4 1 tank + 1 box = 8.2 --- (3)
Mass of 1 tank and 1 box = 8.2 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 8.2
5 tanks + 5 boxes = 41 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 45.8 - 41
5 tanks - 5 tanks + 6 boxes - 5 boxes = 4.8
1 box = 4.8
5 boxes = 4.8 x 5 = 24
Mass of 5 boxes = 24 kg
(c)
Substitute 1 box = 4.8 into (3).
1 tank + 1 box = 8.2
1 tank + 4.8 = 8.2
1 tank = 8.2 - 4.8 = 3.4
Mass of 1 tank = 3.4 kg
Mass of 1 tank less than 1 box
= 4.8 - 3.4
= 1.4 kg
Answer(s): (a) 8.2 kg; (b) 24 kg; (c) 1.4 kg