The total mass of 2 tanks and 3 boxes was 13 kg.
The total mass of 6 tanks and 6 boxes was 30.6 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)
2 tanks + 3 boxes = 13 --- (1)
6 tanks + 6 boxes = 30.6 --- (2)
(2)
÷ 6 1 tank + 1 box = 5.1 --- (3)
Mass of 1 tank and 1 box = 5.1 kg
(b)
(3) x 2
2 tanks + 2 boxes = 2 x 5.1
2 tanks + 2 boxes = 10.2 --- (4)
(1) - (4)
(2 tanks + 3 tanks) - (2 tanks + 2 tanks) = 13 - 10.2
2 tanks - 2 tanks + 3 boxes - 2 boxes = 2.8
1 box = 2.8
5 boxes = 2.8 x 5 = 14
Mass of 5 boxes = 14 kg
(c)
Substitute 1 box = 2.8 into (3).
1 tank + 1 box = 5.1
1 tank + 2.8 = 5.1
1 tank = 5.1 - 2.8 = 2.3
Mass of 1 tank = 2.3 kg
Mass of 1 tank less than 1 box
= 2.8 - 2.3
= 0.5 kg
Answer(s): (a) 5.1 kg; (b) 14 kg; (c) 0.5 kg