The total mass of 4 tanks and 5 boxes was 23.8 kg.
The total mass of 5 tanks and 5 boxes was 25 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 7 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
4 tanks + 5 boxes = 23.8 --- (1)
5 tanks + 5 boxes = 25 --- (2)
(2)
÷ 5 1 tank + 1 box = 5 --- (3)
Mass of 1 tank and 1 box = 5 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 5
4 tanks + 4 boxes = 20 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 23.8 - 20
4 tanks - 4 tanks + 5 boxes - 4 boxes = 3.8
1 box = 3.8
7 boxes = 3.8 x 7 = 26.6
Mass of 7 boxes = 26.6 kg
(c)
Substitute 1 box = 3.8 into (3).
1 tank + 1 box = 5
1 tank + 3.8 = 5
1 tank = 5 - 3.8 = 1.2
Mass of 1 tank = 1.2 kg
Mass of 1 tank less than 1 box
= 3.8 - 1.2
= 2.6 kg
Answer(s): (a) 5 kg; (b) 26.6 kg; (c) 2.6 kg