The total mass of 4 boxes and 5 tanks was 34 kg.
The total mass of 6 boxes and 6 tanks was 43.8 kg.
- What is the mass of 1 box and 1 tank?
- What is the mass of 10 tanks?
- How much less is the mass of 1 tank than 1 box?
(a)
4 boxes + 5 tanks = 34 --- (1)
6 boxes + 6 tanks = 43.8 --- (2)
(2)
÷ 6 1 box + 1 tank = 7.3 --- (3)
Mass of 1 box and 1 tank = 7.3 kg
(b)
(3) x 4
4 boxes + 4 tanks = 4 x 7.3
4 boxes + 4 tanks = 29.2 --- (4)
(1) - (4)
(4 boxes + 5 tanks) - (4 boxes + 4 tanks) = 34 - 29.2
4 boxes - 4 boxes + 5 tanks - 4 tanks = 4.8
1 tank = 4.8
10 tanks = 4.8 x 10 = 48
Mass of 10 tanks = 48 kg
(c)
Substitute 1 tank = 4.8 into (3).
1 box + 1 tank = 7.3
1 box + 4.8 = 7.3
1 box = 7.3 - 4.8 = 2.5
Mass of 1 box = 2.5 kg
Mass of 1 box less than 1 tank
= 4.8 - 2.5
= 2.3 kg
Answer(s): (a) 7.3 kg; (b) 48 kg; (c) 2.3 kg