The total mass of 2 tanks and 3 boxes was 13 kg.
The total mass of 4 tanks and 4 boxes was 19.6 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 8 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
2 tanks + 3 boxes = 13 --- (1)
4 tanks + 4 boxes = 19.6 --- (2)
(2)
÷ 4 1 tank + 1 box = 4.9 --- (3)
Mass of 1 tank and 1 box = 4.9 kg
(b)
(3) x 2
2 tanks + 2 boxes = 2 x 4.9
2 tanks + 2 boxes = 9.8 --- (4)
(1) - (4)
(2 tanks + 3 tanks) - (2 tanks + 2 tanks) = 13 - 9.8
2 tanks - 2 tanks + 3 boxes - 2 boxes = 3.2
1 box = 3.2
8 boxes = 3.2 x 8 = 25.6
Mass of 8 boxes = 25.6 kg
(c)
Substitute 1 box = 3.2 into (3).
1 tank + 1 box = 4.9
1 tank + 3.2 = 4.9
1 tank = 4.9 - 3.2 = 1.7
Mass of 1 tank = 1.7 kg
Mass of 1 tank less than 1 box
= 3.2 - 1.7
= 1.5 kg
Answer(s): (a) 4.9 kg; (b) 25.6 kg; (c) 1.5 kg