The total mass of 2 boxes and 3 tanks was 14.1 kg.
The total mass of 4 boxes and 4 tanks was 22 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)
2 boxes + 3 tanks = 14.1 --- (1)
4 boxes + 4 tanks = 22 --- (2)
(2)
÷ 4 1 box + 1 tank = 5.5 --- (3)
Mass of 1 box and 1 tank = 5.5 kg
(b)
(3) x 2
2 boxes + 2 tanks = 2 x 5.5
2 boxes + 2 tanks = 11 --- (4)
(1) - (4)
(2 boxes + 3 tanks) - (2 boxes + 2 tanks) = 14.1 - 11
2 boxes - 2 boxes + 3 tanks - 2 tanks = 3.1
1 tank = 3.1
10 tanks = 3.1 x 10 = 31
Mass of 10 tanks = 31 kg
(c)
Substitute 1 tank = 3.1 into (3).
1 box + 1 tank = 5.5
1 box + 3.1 = 5.5
1 box = 5.5 - 3.1 = 2.4
Mass of 1 box = 2.4 kg
Mass of 1 box less than 1 tank
= 3.1 - 2.4
= 0.7 kg
Answer(s): (a) 5.5 kg; (b) 31 kg; (c) 0.7 kg