The total mass of 2 tanks and 3 boxes was 10.9 kg.
The total mass of 6 tanks and 6 boxes was 24.6 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 = 10.9 --- (1)
6 tanks + 6 boxes = 24.6 --- (2)
(2)
÷ 6 1 tank + 1 box = 4.1 --- (3)
Mass of 1 tank and 1 box = 4.1 kg
(b)
(3) x 2
2 tanks + 2 boxes = 2 x 4.1
2 tanks + 2 boxes = 8.2 --- (4)
(1) - (4)
(2 tanks + 3 tanks) - (2 tanks + 2 tanks) = 10.9 - 8.2
2 tanks - 2 tanks + 3 boxes - 2 boxes = 2.7
1 box = 2.7
8 boxes = 2.7 x 8 = 21.6
Mass of 8 boxes = 21.6 kg
(c)
Substitute 1 box = 2.7 into (3).
1 tank + 1 box = 4.1
1 tank + 2.7 = 4.1
1 tank = 4.1 - 2.7 = 1.4
Mass of 1 tank = 1.4 kg
Mass of 1 tank less than 1 box
= 2.7 - 1.4
= 1.3 kg
Answer(s): (a) 4.1 kg; (b) 21.6 kg; (c) 1.3 kg