The total mass of 4 tanks and 5 boxes was 34.1 kg.
The total mass of 6 tanks and 6 boxes was 44.4 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)
4 tanks + 5 boxes = 34.1 --- (1)
6 tanks + 6 boxes = 44.4 --- (2)
(2)
÷ 6 1 tank + 1 box = 7.4 --- (3)
Mass of 1 tank and 1 box = 7.4 kg
(b)
(3) x 4
4 tanks + 4 boxes = 4 x 7.4
4 tanks + 4 boxes = 29.6 --- (4)
(1) - (4)
(4 tanks + 5 tanks) - (4 tanks + 4 tanks) = 34.1 - 29.6
4 tanks - 4 tanks + 5 boxes - 4 boxes = 4.5
1 box = 4.5
8 boxes = 4.5 x 8 = 36
Mass of 8 boxes = 36 kg
(c)
Substitute 1 box = 4.5 into (3).
1 tank + 1 box = 7.4
1 tank + 4.5 = 7.4
1 tank = 7.4 - 4.5 = 2.9
Mass of 1 tank = 2.9 kg
Mass of 1 tank less than 1 box
= 4.5 - 2.9
= 1.6 kg
Answer(s): (a) 7.4 kg; (b) 36 kg; (c) 1.6 kg