The total mass of 2 boxes and 3 tanks was 15.3 kg.
The total mass of 4 boxes and 4 tanks was 24 kg.
- What is the mass of 1 box and 1 tank?
- What is the mass of 5 tanks?
- How much less is the mass of 1 tank than 1 box?
(a)
2 boxes + 3 tanks = 15.3 --- (1)
4 boxes + 4 tanks = 24 --- (2)
(2)
÷ 4 1 box + 1 tank = 6 --- (3)
Mass of 1 box and 1 tank = 6 kg
(b)
(3) x 2
2 boxes + 2 tanks = 2 x 6
2 boxes + 2 tanks = 12 --- (4)
(1) - (4)
(2 boxes + 3 tanks) - (2 boxes + 2 tanks) = 15.3 - 12
2 boxes - 2 boxes + 3 tanks - 2 tanks = 3.3
1 tank = 3.3
5 tanks = 3.3 x 5 = 16.5
Mass of 5 tanks = 16.5 kg
(c)
Substitute 1 tank = 3.3 into (3).
1 box + 1 tank = 6
1 box + 3.3 = 6
1 box = 6 - 3.3 = 2.7
Mass of 1 box = 2.7 kg
Mass of 1 box less than 1 tank
= 3.3 - 2.7
= 0.6 kg
Answer(s): (a) 6 kg; (b) 16.5 kg; (c) 0.6 kg