The total mass of 5 tanks and 6 boxes was 22.6 kg.
The total mass of 6 tanks and 6 boxes was 24 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 = 22.6 --- (1)
6 tanks + 6 boxes = 24 --- (2)
(2)
÷ 6 1 tank + 1 box = 4 --- (3)
Mass of 1 tank and 1 box = 4 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 4
5 tanks + 5 boxes = 20 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 22.6 - 20
5 tanks - 5 tanks + 6 boxes - 5 boxes = 2.6
1 box = 2.6
8 boxes = 2.6 x 8 = 20.8
Mass of 8 boxes = 20.8 kg
(c)
Substitute 1 box = 2.6 into (3).
1 tank + 1 box = 4
1 tank + 2.6 = 4
1 tank = 4 - 2.6 = 1.4
Mass of 1 tank = 1.4 kg
Mass of 1 tank less than 1 box
= 2.6 - 1.4
= 1.2 kg
Answer(s): (a) 4 kg; (b) 20.8 kg; (c) 1.2 kg