The total mass of 4 tanks and 5 boxes was 20.1 kg.
The total mass of 5 tanks and 5 boxes was 22 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 9 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
4 tanks + 5 boxes = 20.1 --- (1)
5 tanks + 5 boxes = 22 --- (2)
(2)
÷ 5 1 tank + 1 box = 4.4 --- (3)
Mass of 1 tank and 1 box = 4.4 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 4.4
4 tanks + 4 boxes = 17.6 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 20.1 - 17.6
4 tanks - 4 tanks + 5 boxes - 4 boxes = 2.5
1 box = 2.5
9 boxes = 2.5 x 9 = 22.5
Mass of 9 boxes = 22.5 kg
(c)
Substitute 1 box = 2.5 into (3).
1 tank + 1 box = 4.4
1 tank + 2.5 = 4.4
1 tank = 4.4 - 2.5 = 1.9
Mass of 1 tank = 1.9 kg
Mass of 1 tank less than 1 box
= 2.5 - 1.9
= 0.6 kg
Answer(s): (a) 4.4 kg; (b) 22.5 kg; (c) 0.6 kg