The total mass of 4 boxes and 5 tanks was 26.4 kg.
The total mass of 6 boxes and 6 tanks was 34.8 kg.
- What is the mass of 1 box and 1 tank?
- What is the mass of 8 tanks?
- How much less is the mass of 1 tank than 1 box?
(a)
4 boxes + 5 tanks = 26.4 --- (1)
6 boxes + 6 tanks = 34.8 --- (2)
(2)
÷ 6 1 box + 1 tank = 5.8 --- (3)
Mass of 1 box and 1 tank = 5.8 kg
(b)
(3) x 4
4 boxes + 4 tanks = 4 x 5.8
4 boxes + 4 tanks = 23.2 --- (4)
(1) - (4)
(4 boxes + 5 tanks) - (4 boxes + 4 tanks) = 26.4 - 23.2
4 boxes - 4 boxes + 5 tanks - 4 tanks = 3.2
1 tank = 3.2
8 tanks = 3.2 x 8 = 25.6
Mass of 8 tanks = 25.6 kg
(c)
Substitute 1 tank = 3.2 into (3).
1 box + 1 tank = 5.8
1 box + 3.2 = 5.8
1 box = 5.8 - 3.2 = 2.6
Mass of 1 box = 2.6 kg
Mass of 1 box less than 1 tank
= 3.2 - 2.6
= 0.6 kg
Answer(s): (a) 5.8 kg; (b) 25.6 kg; (c) 0.6 kg