The total mass of 4 tanks and 5 boxes was 15.9 kg.
The total mass of 5 tanks and 5 boxes was 17.5 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)
4 tanks + 5 boxes = 15.9 --- (1)
5 tanks + 5 boxes = 17.5 --- (2)
(2)
÷ 5 1 tank + 1 box = 3.5 --- (3)
Mass of 1 tank and 1 box = 3.5 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 3.5
4 tanks + 4 boxes = 14 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 15.9 - 14
4 tanks - 4 tanks + 5 boxes - 4 boxes = 1.9
1 box = 1.9
6 boxes = 1.9 x 6 = 11.4
Mass of 6 boxes = 11.4 kg
(c)
Substitute 1 box = 1.9 into (3).
1 tank + 1 box = 3.5
1 tank + 1.9 = 3.5
1 tank = 3.5 - 1.9 = 1.6
Mass of 1 tank = 1.6 kg
Mass of 1 tank less than 1 box
= 1.9 - 1.6
= 0.3 kg
Answer(s): (a) 3.5 kg; (b) 11.4 kg; (c) 0.3 kg