The total mass of 4 tanks and 5 boxes was 31.3 kg.
The total mass of 5 tanks and 5 boxes was 34 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 = 31.3 --- (1)
5 tanks + 5 boxes = 34 --- (2)
(2)
÷ 5 1 tank + 1 box = 6.8 --- (3)
Mass of 1 tank and 1 box = 6.8 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 6.8
4 tanks + 4 boxes = 27.2 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 31.3 - 27.2
4 tanks - 4 tanks + 5 boxes - 4 boxes = 4.1
1 box = 4.1
10 boxes = 4.1 x 10 = 41
Mass of 10 boxes = 41 kg
(c)
Substitute 1 box = 4.1 into (3).
1 tank + 1 box = 6.8
1 tank + 4.1 = 6.8
1 tank = 6.8 - 4.1 = 2.7
Mass of 1 tank = 2.7 kg
Mass of 1 tank less than 1 box
= 4.1 - 2.7
= 1.4 kg
Answer(s): (a) 6.8 kg; (b) 41 kg; (c) 1.4 kg