The total mass of 2 tanks and 3 boxes was 15.3 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 10 boxes?
- How much less is the mass of 1 box than 1 tank?
(a)
2 tanks + 3 boxes = 15.3 --- (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 2
2 tanks + 2 boxes = 2 x 5.9
2 tanks + 2 boxes = 11.8 --- (4)
(1) - (4)
(2 tanks + 3 tanks) - (2 tanks + 2 tanks) = 15.3 - 11.8
2 tanks - 2 tanks + 3 boxes - 2 boxes = 3.5
1 box = 3.5
10 boxes = 3.5 x 10 = 35
Mass of 10 boxes = 35 kg
(c)
Substitute 1 box = 3.5 into (3).
1 tank + 1 box = 5.9
1 tank + 3.5 = 5.9
1 tank = 5.9 - 3.5 = 2.4
Mass of 1 tank = 2.4 kg
Mass of 1 tank less than 1 box
= 3.5 - 2.4
= 1.1 kg
Answer(s): (a) 5.9 kg; (b) 35 kg; (c) 1.1 kg