The total mass of 3 tanks and 4 boxes was 26 kg.
The total mass of 6 tanks and 6 boxes was 44.4 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)
3 tanks + 4 boxes = 26 --- (1)
6 tanks + 6 boxes = 44.4 --- (2)
(2)
÷ 6 1 tank + 1 box = 7.4 --- (3)
Mass of 1 tank and 1 box = 7.4 kg
(b)
(3) x 3
3 tanks + 3 boxes = 3 x 7.4
3 tanks + 3 boxes = 22.2 --- (4)
(1) - (4)
(3 tanks + 4 tanks) - (3 tanks + 3 tanks) = 26 - 22.2
3 tanks - 3 tanks + 4 boxes - 3 boxes = 3.8
1 box = 3.8
9 boxes = 3.8 x 9 = 34.2
Mass of 9 boxes = 34.2 kg
(c)
Substitute 1 box = 3.8 into (3).
1 tank + 1 box = 7.4
1 tank + 3.8 = 7.4
1 tank = 7.4 - 3.8 = 3.6
Mass of 1 tank = 3.6 kg
Mass of 1 tank less than 1 box
= 3.8 - 3.6
= 0.2 kg
Answer(s): (a) 7.4 kg; (b) 34.2 kg; (c) 0.2 kg