The total mass of 4 tanks and 5 boxes was 29.3 kg.
The total mass of 5 tanks and 5 boxes was 30.5 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 6 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
4 tanks + 5 boxes = 29.3 --- (1)
5 tanks + 5 boxes = 30.5 --- (2)
(2)
÷ 5 1 tank + 1 box = 6.1 --- (3)
Mass of 1 tank and 1 box = 6.1 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 6.1
4 tanks + 4 boxes = 24.4 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 29.3 - 24.4
4 tanks - 4 tanks + 5 boxes - 4 boxes = 4.9
1 box = 4.9
6 boxes = 4.9 x 6 = 29.4
Mass of 6 boxes = 29.4 kg
(c)
Substitute 1 box = 4.9 into (3).
1 tank + 1 box = 6.1
1 tank + 4.9 = 6.1
1 tank = 6.1 - 4.9 = 1.2
Mass of 1 tank = 1.2 kg
Mass of 1 tank less than 1 box
= 4.9 - 1.2
= 3.7 kg
Answer(s): (a) 6.1 kg; (b) 29.4 kg; (c) 3.7 kg