The total mass of 3 tanks and 4 boxes was 26.8 kg.
The total mass of 6 tanks and 6 boxes was 45 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)
3 tanks + 4 boxes = 26.8 --- (1)
6 tanks + 6 boxes = 45 --- (2)
(2)
÷ 6 1 tank + 1 box = 7.5 --- (3)
Mass of 1 tank and 1 box = 7.5 kg
(b)
(3) x 3
3 tanks + 3 boxes = 3 x 7.5
3 tanks + 3 boxes = 22.5 --- (4)
(1) - (4)
(3 tanks + 4 tanks) - (3 tanks + 3 tanks) = 26.8 - 22.5
3 tanks - 3 tanks + 4 boxes - 3 boxes = 4.3
1 box = 4.3
10 boxes = 4.3 x 10 = 43
Mass of 10 boxes = 43 kg
(c)
Substitute 1 box = 4.3 into (3).
1 tank + 1 box = 7.5
1 tank + 4.3 = 7.5
1 tank = 7.5 - 4.3 = 3.2
Mass of 1 tank = 3.2 kg
Mass of 1 tank less than 1 box
= 4.3 - 3.2
= 1.1 kg
Answer(s): (a) 7.5 kg; (b) 43 kg; (c) 1.1 kg