The total mass of 5 tanks and 6 boxes was 45.5 kg.
The total mass of 6 tanks and 6 boxes was 49.2 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 6 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
5 tanks + 6 boxes = 45.5 --- (1)
6 tanks + 6 boxes = 49.2 --- (2)
(2)
÷ 6 1 tank + 1 box = 8.2 --- (3)
Mass of 1 tank and 1 box = 8.2 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 8.2
5 tanks + 5 boxes = 41 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 45.5 - 41
5 tanks - 5 tanks + 6 boxes - 5 boxes = 4.5
1 box = 4.5
6 boxes = 4.5 x 6 = 27
Mass of 6 boxes = 27 kg
(c)
Substitute 1 box = 4.5 into (3).
1 tank + 1 box = 8.2
1 tank + 4.5 = 8.2
1 tank = 8.2 - 4.5 = 3.7
Mass of 1 tank = 3.7 kg
Mass of 1 tank less than 1 box
= 4.5 - 3.7
= 0.8 kg
Answer(s): (a) 8.2 kg; (b) 27 kg; (c) 0.8 kg