The total mass of 2 tanks and 3 boxes was 22.6 kg.
The total mass of 4 tanks and 4 boxes was 36 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 7 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
2 tanks + 3 boxes = 22.6 --- (1)
4 tanks + 4 boxes = 36 --- (2)
(2)
÷ 4 1 tank + 1 box = 9 --- (3)
Mass of 1 tank and 1 box = 9 kg
(b)
(3) x 2
2 tanks + 2 boxes = 2 x 9
2 tanks + 2 boxes = 18 --- (4)
(1) - (4)
(2 tanks + 3 tanks) - (2 tanks + 2 tanks) = 22.6 - 18
2 tanks - 2 tanks + 3 boxes - 2 boxes = 4.6
1 box = 4.6
7 boxes = 4.6 x 7 = 32.2
Mass of 7 boxes = 32.2 kg
(c)
Substitute 1 box = 4.6 into (3).
1 tank + 1 box = 9
1 tank + 4.6 = 9
1 tank = 9 - 4.6 = 4.4
Mass of 1 tank = 4.4 kg
Mass of 1 tank less than 1 box
= 4.6 - 4.4
= 0.2 kg
Answer(s): (a) 9 kg; (b) 32.2 kg; (c) 0.2 kg