The total mass of 2 tanks and 3 boxes was 11.1 kg.
The total mass of 5 tanks and 5 boxes was 21.5 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)
2 tanks + 3 boxes = 11.1 --- (1)
5 tanks + 5 boxes = 21.5 --- (2)
(2)
÷ 5 1 tank + 1 box = 4.3 --- (3)
Mass of 1 tank and 1 box = 4.3 kg
(b)
(3) x 2
2 tanks + 2 boxes = 2 x 4.3
2 tanks + 2 boxes = 8.6 --- (4)
(1) - (4)
(2 tanks + 3 tanks) - (2 tanks + 2 tanks) = 11.1 - 8.6
2 tanks - 2 tanks + 3 boxes - 2 boxes = 2.5
1 box = 2.5
10 boxes = 2.5 x 10 = 25
Mass of 10 boxes = 25 kg
(c)
Substitute 1 box = 2.5 into (3).
1 tank + 1 box = 4.3
1 tank + 2.5 = 4.3
1 tank = 4.3 - 2.5 = 1.8
Mass of 1 tank = 1.8 kg
Mass of 1 tank less than 1 box
= 2.5 - 1.8
= 0.7 kg
Answer(s): (a) 4.3 kg; (b) 25 kg; (c) 0.7 kg