The total mass of 4 tanks and 5 boxes was 24.7 kg.
The total mass of 5 tanks and 5 boxes was 27 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 10 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
4 tanks + 5 boxes = 24.7 --- (1)
5 tanks + 5 boxes = 27 --- (2)
(2)
÷ 5 1 tank + 1 box = 5.4 --- (3)
Mass of 1 tank and 1 box = 5.4 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 5.4
4 tanks + 4 boxes = 21.6 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 24.7 - 21.6
4 tanks - 4 tanks + 5 boxes - 4 boxes = 3.1
1 box = 3.1
10 boxes = 3.1 x 10 = 31
Mass of 10 boxes = 31 kg
(c)
Substitute 1 box = 3.1 into (3).
1 tank + 1 box = 5.4
1 tank + 3.1 = 5.4
1 tank = 5.4 - 3.1 = 2.3
Mass of 1 tank = 2.3 kg
Mass of 1 tank less than 1 box
= 3.1 - 2.3
= 0.8 kg
Answer(s): (a) 5.4 kg; (b) 31 kg; (c) 0.8 kg