The total mass of 5 boxes and 6 tanks was 34.8 kg.
The total mass of 6 boxes and 6 tanks was 36 kg.
- What is the mass of 1 box and 1 tank?
- What is the mass of 9 tanks?
- How much less is the mass of 1 tank than 1 box?
(a)
5 boxes + 6 tanks = 34.8 --- (1)
6 boxes + 6 tanks = 36 --- (2)
(2)
÷ 6 1 box + 1 tank = 6 --- (3)
Mass of 1 box and 1 tank = 6 kg
(b)
(3) x 5
5 boxes + 5 tanks = 5 x 6
5 boxes + 5 tanks = 30 --- (4)
(1) - (4)
(5 boxes + 6 tanks) - (5 boxes + 5 tanks) = 34.8 - 30
5 boxes - 5 boxes + 6 tanks - 5 tanks = 4.8
1 tank = 4.8
9 tanks = 4.8 x 9 = 43.2
Mass of 9 tanks = 43.2 kg
(c)
Substitute 1 tank = 4.8 into (3).
1 box + 1 tank = 6
1 box + 4.8 = 6
1 box = 6 - 4.8 = 1.2
Mass of 1 box = 1.2 kg
Mass of 1 box less than 1 tank
= 4.8 - 1.2
= 3.6 kg
Answer(s): (a) 6 kg; (b) 43.2 kg; (c) 3.6 kg