The total mass of 5 tanks and 6 boxes was 32.6 kg.
The total mass of 4 tanks and 4 boxes was 23.2 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)
5 tanks + 6 boxes = 32.6 --- (1)
4 tanks + 4 boxes = 23.2 --- (2)
(2)
÷ 4 1 tank + 1 box = 5.8 --- (3)
Mass of 1 tank and 1 box = 5.8 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 5.8
5 tanks + 5 boxes = 29 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 32.6 - 29
5 tanks - 5 tanks + 6 boxes - 5 boxes = 3.6
1 box = 3.6
10 boxes = 3.6 x 10 = 36
Mass of 10 boxes = 36 kg
(c)
Substitute 1 box = 3.6 into (3).
1 tank + 1 box = 5.8
1 tank + 3.6 = 5.8
1 tank = 5.8 - 3.6 = 2.2
Mass of 1 tank = 2.2 kg
Mass of 1 tank less than 1 box
= 3.6 - 2.2
= 1.4 kg
Answer(s): (a) 5.8 kg; (b) 36 kg; (c) 1.4 kg