The total mass of 2 boxes and 3 tanks was 15 kg.
The total mass of 6 boxes and 6 tanks was 35.4 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)
2 boxes + 3 tanks = 15 --- (1)
6 boxes + 6 tanks = 35.4 --- (2)
(2)
÷ 6 1 box + 1 tank = 5.9 --- (3)
Mass of 1 box and 1 tank = 5.9 kg
(b)
(3) x 2
2 boxes + 2 tanks = 2 x 5.9
2 boxes + 2 tanks = 11.8 --- (4)
(1) - (4)
(2 boxes + 3 tanks) - (2 boxes + 2 tanks) = 15 - 11.8
2 boxes - 2 boxes + 3 tanks - 2 tanks = 3.2
1 tank = 3.2
5 tanks = 3.2 x 5 = 16
Mass of 5 tanks = 16 kg
(c)
Substitute 1 tank = 3.2 into (3).
1 box + 1 tank = 5.9
1 box + 3.2 = 5.9
1 box = 5.9 - 3.2 = 2.7
Mass of 1 box = 2.7 kg
Mass of 1 box less than 1 tank
= 3.2 - 2.7
= 0.5 kg
Answer(s): (a) 5.9 kg; (b) 16 kg; (c) 0.5 kg