The total mass of 4 tanks and 5 boxes was 23.4 kg.
The total mass of 5 tanks and 5 boxes was 24.5 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)
4 tanks + 5 boxes = 23.4 --- (1)
5 tanks + 5 boxes = 24.5 --- (2)
(2)
÷ 5 1 tank + 1 box = 4.9 --- (3)
Mass of 1 tank and 1 box = 4.9 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 4.9
4 tanks + 4 boxes = 19.6 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 23.4 - 19.6
4 tanks - 4 tanks + 5 boxes - 4 boxes = 3.8
1 box = 3.8
5 boxes = 3.8 x 5 = 19
Mass of 5 boxes = 19 kg
(c)
Substitute 1 box = 3.8 into (3).
1 tank + 1 box = 4.9
1 tank + 3.8 = 4.9
1 tank = 4.9 - 3.8 = 1.1
Mass of 1 tank = 1.1 kg
Mass of 1 tank less than 1 box
= 3.8 - 1.1
= 2.7 kg
Answer(s): (a) 4.9 kg; (b) 19 kg; (c) 2.7 kg