The total mass of 3 tanks and 4 boxes was 26.1 kg.
The total mass of 6 tanks and 6 boxes was 42.6 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)
3 tanks + 4 boxes = 26.1 --- (1)
6 tanks + 6 boxes = 42.6 --- (2)
(2)
÷ 6 1 tank + 1 box = 7.1 --- (3)
Mass of 1 tank and 1 box = 7.1 kg
(b)
(3) x 3
3 tanks + 3 boxes = 3 x 7.1
3 tanks + 3 boxes = 21.3 --- (4)
(1) - (4)
(3 tanks + 4 tanks) - (3 tanks + 3 tanks) = 26.1 - 21.3
3 tanks - 3 tanks + 4 boxes - 3 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 = 7.1
1 tank + 4.8 = 7.1
1 tank = 7.1 - 4.8 = 2.3
Mass of 1 tank = 2.3 kg
Mass of 1 tank less than 1 box
= 4.8 - 2.3
= 2.5 kg
Answer(s): (a) 7.1 kg; (b) 24 kg; (c) 2.5 kg