The total mass of 2 tanks and 3 boxes was 12 kg.
The total mass of 5 tanks and 5 boxes was 23.5 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 5 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
2 tanks + 3 boxes = 12 --- (1)
5 tanks + 5 boxes = 23.5 --- (2)
(2)
÷ 5 1 tank + 1 box = 4.7 --- (3)
Mass of 1 tank and 1 box = 4.7 kg
(b)
(3) x 2
2 tanks + 2 boxes = 2 x 4.7
2 tanks + 2 boxes = 9.4 --- (4)
(1) - (4)
(2 tanks + 3 tanks) - (2 tanks + 2 tanks) = 12 - 9.4
2 tanks - 2 tanks + 3 boxes - 2 boxes = 2.6
1 box = 2.6
5 boxes = 2.6 x 5 = 13
Mass of 5 boxes = 13 kg
(c)
Substitute 1 box = 2.6 into (3).
1 tank + 1 box = 4.7
1 tank + 2.6 = 4.7
1 tank = 4.7 - 2.6 = 2.1
Mass of 1 tank = 2.1 kg
Mass of 1 tank less than 1 box
= 2.6 - 2.1
= 0.5 kg
Answer(s): (a) 4.7 kg; (b) 13 kg; (c) 0.5 kg