The total mass of 5 tanks and 6 boxes was 33.9 kg.
The total mass of 6 tanks and 6 boxes was 36 kg.
- What is the mass of 1 tank and 1 box?
- What is the mass of 9 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
5 tanks + 6 boxes = 33.9 --- (1)
6 tanks + 6 boxes = 36 --- (2)
(2)
÷ 6 1 tank + 1 box = 6 --- (3)
Mass of 1 tank and 1 box = 6 kg
(b)
(3) x 5
5 tanks + 5 boxes = 5 x 6
5 tanks + 5 boxes = 30 --- (4)
(1) - (4)
(5 tanks + 6 tanks) - (5 tanks + 5 tanks) = 33.9 - 30
5 tanks - 5 tanks + 6 boxes - 5 boxes = 3.9
1 box = 3.9
9 boxes = 3.9 x 9 = 35.1
Mass of 9 boxes = 35.1 kg
(c)
Substitute 1 box = 3.9 into (3).
1 tank + 1 box = 6
1 tank + 3.9 = 6
1 tank = 6 - 3.9 = 2.1
Mass of 1 tank = 2.1 kg
Mass of 1 tank less than 1 box
= 3.9 - 2.1
= 1.8 kg
Answer(s): (a) 6 kg; (b) 35.1 kg; (c) 1.8 kg