The total mass of 5 tanks and 6 boxes was 34.6 kg.
The total mass of 4 tanks and 4 boxes was 24.8 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 = 34.6 --- (1)
4 tanks + 4 boxes = 24.8 --- (2)
(2)
÷ 4 1 tank + 1 box = 6.2 --- (3)
Mass of 1 tank and 1 box = 6.2 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 6.2
5 tanks + 5 boxes = 31 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 34.6 - 31
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 = 6.2
1 tank + 3.6 = 6.2
1 tank = 6.2 - 3.6 = 2.6
Mass of 1 tank = 2.6 kg
Mass of 1 tank less than 1 box
= 3.6 - 2.6
= 1 kg
Answer(s): (a) 6.2 kg; (b) 28.8 kg; (c) 1 kg