The total mass of 5 boxes and 6 tanks was 36.2 kg.
The total mass of 6 boxes and 6 tanks was 39 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)
5 boxes + 6 tanks = 36.2 --- (1)
6 boxes + 6 tanks = 39 --- (2)
(2)
÷ 6 1 box + 1 tank = 6.5 --- (3)
Mass of 1 box and 1 tank = 6.5 kg
(b)
(3) x 5
5 boxes + 5 tanks = 5 x 6.5
5 boxes + 5 tanks = 32.5 --- (4)
(1) - (4)
(5 boxes + 6 tanks) - (5 boxes + 5 tanks) = 36.2 - 32.5
5 boxes - 5 boxes + 6 tanks - 5 tanks = 3.7
1 tank = 3.7
5 tanks = 3.7 x 5 = 18.5
Mass of 5 tanks = 18.5 kg
(c)
Substitute 1 tank = 3.7 into (3).
1 box + 1 tank = 6.5
1 box + 3.7 = 6.5
1 box = 6.5 - 3.7 = 2.8
Mass of 1 box = 2.8 kg
Mass of 1 box less than 1 tank
= 3.7 - 2.8
= 0.9 kg
Answer(s): (a) 6.5 kg; (b) 18.5 kg; (c) 0.9 kg