The total mass of 3 tanks and 4 boxes was 33.7 kg.
The total mass of 4 tanks and 4 boxes was 38.4 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)
3 tanks + 4 boxes = 33.7 --- (1)
4 tanks + 4 boxes = 38.4 --- (2)
(2)
÷ 4 1 tank + 1 box = 9.6 --- (3)
Mass of 1 tank and 1 box = 9.6 kg
(b)
(3) x 3
3 tanks + 3 boxes = 3 x 9.6
3 tanks + 3 boxes = 28.8 --- (4)
(1) - (4)
(3 tanks + 4 tanks) - (3 tanks + 3 tanks) = 33.7 - 28.8
3 tanks - 3 tanks + 4 boxes - 3 boxes = 4.9
1 box = 4.9
10 boxes = 4.9 x 10 = 49
Mass of 10 boxes = 49 kg
(c)
Substitute 1 box = 4.9 into (3).
1 tank + 1 box = 9.6
1 tank + 4.9 = 9.6
1 tank = 9.6 - 4.9 = 4.7
Mass of 1 tank = 4.7 kg
Mass of 1 tank less than 1 box
= 4.9 - 4.7
= 0.2 kg
Answer(s): (a) 9.6 kg; (b) 49 kg; (c) 0.2 kg