The total mass of 4 boxes and 5 tanks was 12.4 kg.
The total mass of 6 boxes and 6 tanks was 16.2 kg.
- What is the mass of 1 box and 1 tank?
- What is the mass of 10 tanks?
- How much less is the mass of 1 tank than 1 box?
(a)
4 boxes + 5 tanks = 12.4 --- (1)
6 boxes + 6 tanks = 16.2 --- (2)
(2)
÷ 6 1 box + 1 tank = 2.7 --- (3)
Mass of 1 box and 1 tank = 2.7 kg
(b)
(3) x 4
4 boxes + 4 tanks = 4 x 2.7
4 boxes + 4 tanks = 10.8 --- (4)
(1) - (4)
(4 boxes + 5 tanks) - (4 boxes + 4 tanks) = 12.4 - 10.8
4 boxes - 4 boxes + 5 tanks - 4 tanks = 1.6
1 tank = 1.6
10 tanks = 1.6 x 10 = 16
Mass of 10 tanks = 16 kg
(c)
Substitute 1 tank = 1.6 into (3).
1 box + 1 tank = 2.7
1 box + 1.6 = 2.7
1 box = 2.7 - 1.6 = 1.1
Mass of 1 box = 1.1 kg
Mass of 1 box less than 1 tank
= 1.6 - 1.1
= 0.5 kg
Answer(s): (a) 2.7 kg; (b) 16 kg; (c) 0.5 kg