The total mass of 5 tanks and 6 boxes was 32.4 kg.
The total mass of 6 tanks and 6 boxes was 33.6 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 5 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
5 tanks + 6 boxes = 32.4 --- (1)
6 tanks + 6 boxes = 33.6 --- (2)
(2)
÷ 6 1 tank + 1 box = 5.6 --- (3)
Mass of 1 tank and 1 box = 5.6 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 5.6
5 tanks + 5 boxes = 28 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 32.4 - 28
5 tanks - 5 tanks + 6 boxes - 5 boxes = 4.4
1 box = 4.4
5 boxes = 4.4 x 5 = 22
Mass of 5 boxes = 22 kg
(c)
Substitute 1 box = 4.4 into (3).
1 tank + 1 box = 5.6
1 tank + 4.4 = 5.6
1 tank = 5.6 - 4.4 = 1.2
Mass of 1 tank = 1.2 kg
Mass of 1 tank less than 1 box
= 4.4 - 1.2
= 3.2 kg
Answer(s): (a) 5.6 kg; (b) 22 kg; (c) 3.2 kg