The total mass of 5 boxes and 6 tanks was 49.3 kg.
The total mass of 4 boxes and 4 tanks was 35.6 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)
5 boxes + 6 tanks = 49.3 --- (1)
4 boxes + 4 tanks = 35.6 --- (2)
(2)
÷ 4 1 box + 1 tank = 8.9 --- (3)
Mass of 1 box and 1 tank = 8.9 kg
(b)
(3) x 5
5 boxes + 5 tanks = 5 x 8.9
5 boxes + 5 tanks = 44.5 --- (4)
(1) - (4)
(5 boxes + 6 tanks) - (5 boxes + 5 tanks) = 49.3 - 44.5
5 boxes - 5 boxes + 6 tanks - 5 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 = 8.9
1 box + 4.8 = 8.9
1 box = 8.9 - 4.8 = 4.1
Mass of 1 box = 4.1 kg
Mass of 1 box less than 1 tank
= 4.8 - 4.1
= 0.7 kg
Answer(s): (a) 8.9 kg; (b) 48 kg; (c) 0.7 kg