The total mass of 4 tanks and 5 boxes was 16.2 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 10 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
4 tanks + 5 boxes = 16.2 --- (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) = 16.2 - 14
4 tanks - 4 tanks + 5 boxes - 4 boxes = 2.2
1 box = 2.2
10 boxes = 2.2 x 10 = 22
Mass of 10 boxes = 22 kg
(c)
Substitute 1 box = 2.2 into (3).
1 tank + 1 box = 3.5
1 tank + 2.2 = 3.5
1 tank = 3.5 - 2.2 = 1.3
Mass of 1 tank = 1.3 kg
Mass of 1 tank less than 1 box
= 2.2 - 1.3
= 0.9 kg
Answer(s): (a) 3.5 kg; (b) 22 kg; (c) 0.9 kg