The total mass of 5 tanks and 6 boxes was 32.9 kg.
The total mass of 6 tanks and 6 boxes was 35.4 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)
5 tanks + 6 boxes = 32.9 --- (1)
6 tanks + 6 boxes = 35.4 --- (2)
(2)
÷ 6 1 tank + 1 box = 5.9 --- (3)
Mass of 1 tank and 1 box = 5.9 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 5.9
5 tanks + 5 boxes = 29.5 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 32.9 - 29.5
5 tanks - 5 tanks + 6 boxes - 5 boxes = 3.4
1 box = 3.4
7 boxes = 3.4 x 7 = 23.8
Mass of 7 boxes = 23.8 kg
(c)
Substitute 1 box = 3.4 into (3).
1 tank + 1 box = 5.9
1 tank + 3.4 = 5.9
1 tank = 5.9 - 3.4 = 2.5
Mass of 1 tank = 2.5 kg
Mass of 1 tank less than 1 box
= 3.4 - 2.5
= 0.9 kg
Answer(s): (a) 5.9 kg; (b) 23.8 kg; (c) 0.9 kg