The total mass of 2 tanks and 3 boxes was 16.7 kg.
The total mass of 6 tanks and 6 boxes was 37.8 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)
2 tanks + 3 boxes = 16.7 --- (1)
6 tanks + 6 boxes = 37.8 --- (2)
(2)
÷ 6 1 tank + 1 box = 6.3 --- (3)
Mass of 1 tank and 1 box = 6.3 kg
(b)
(3) x 2
2 tanks + 2 boxes = 2 x 6.3
2 tanks + 2 boxes = 12.6 --- (4)
(1) - (4)
(2 tanks + 3 tanks) - (2 tanks + 2 tanks) = 16.7 - 12.6
2 tanks - 2 tanks + 3 boxes - 2 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 = 6.3
1 tank + 4.1 = 6.3
1 tank = 6.3 - 4.1 = 2.2
Mass of 1 tank = 2.2 kg
Mass of 1 tank less than 1 box
= 4.1 - 2.2
= 1.9 kg
Answer(s): (a) 6.3 kg; (b) 41 kg; (c) 1.9 kg