The total mass of 5 boxes and 6 tanks was 46.3 kg.
The total mass of 6 boxes and 6 tanks was 50.4 kg.
- What is the mass of 1 box and 1 tank?
- What is the mass of 7 tanks?
- How much less is the mass of 1 tank than 1 box?
(a)
5 boxes + 6 tanks = 46.3 --- (1)
6 boxes + 6 tanks = 50.4 --- (2)
(2)
÷ 6 1 box + 1 tank = 8.4 --- (3)
Mass of 1 box and 1 tank = 8.4 kg
(b)
(3) x 5
5 boxes + 5 tanks = 5 x 8.4
5 boxes + 5 tanks = 42 --- (4)
(1) - (4)
(5 boxes + 6 tanks) - (5 boxes + 5 tanks) = 46.3 - 42
5 boxes - 5 boxes + 6 tanks - 5 tanks = 4.3
1 tank = 4.3
7 tanks = 4.3 x 7 = 30.1
Mass of 7 tanks = 30.1 kg
(c)
Substitute 1 tank = 4.3 into (3).
1 box + 1 tank = 8.4
1 box + 4.3 = 8.4
1 box = 8.4 - 4.3 = 4.1
Mass of 1 box = 4.1 kg
Mass of 1 box less than 1 tank
= 4.3 - 4.1
= 0.2 kg
Answer(s): (a) 8.4 kg; (b) 30.1 kg; (c) 0.2 kg