The total mass of 5 tanks and 6 boxes was 35.4 kg.
The total mass of 4 tanks and 4 boxes was 24.4 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 8 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
5 tanks + 6 boxes = 35.4 --- (1)
4 tanks + 4 boxes = 24.4 --- (2)
(2)
÷ 4 1 tank + 1 box = 6.1 --- (3)
Mass of 1 tank and 1 box = 6.1 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 6.1
5 tanks + 5 boxes = 30.5 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 35.4 - 30.5
5 tanks - 5 tanks + 6 boxes - 5 boxes = 4.9
1 box = 4.9
8 boxes = 4.9 x 8 = 39.2
Mass of 8 boxes = 39.2 kg
(c)
Substitute 1 box = 4.9 into (3).
1 tank + 1 box = 6.1
1 tank + 4.9 = 6.1
1 tank = 6.1 - 4.9 = 1.2
Mass of 1 tank = 1.2 kg
Mass of 1 tank less than 1 box
= 4.9 - 1.2
= 3.7 kg
Answer(s): (a) 6.1 kg; (b) 39.2 kg; (c) 3.7 kg