The total mass of 3 boxes and 4 tanks was 25.1 kg.
The total mass of 5 boxes and 5 tanks was 35.5 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)
3 boxes + 4 tanks = 25.1 --- (1)
5 boxes + 5 tanks = 35.5 --- (2)
(2)
÷ 5 1 box + 1 tank = 7.1 --- (3)
Mass of 1 box and 1 tank = 7.1 kg
(b)
(3) x 3
3 boxes + 3 tanks = 3 x 7.1
3 boxes + 3 tanks = 21.3 --- (4)
(1) - (4)
(3 boxes + 4 tanks) - (3 boxes + 3 tanks) = 25.1 - 21.3
3 boxes - 3 boxes + 4 tanks - 3 tanks = 3.8
1 tank = 3.8
10 tanks = 3.8 x 10 = 38
Mass of 10 tanks = 38 kg
(c)
Substitute 1 tank = 3.8 into (3).
1 box + 1 tank = 7.1
1 box + 3.8 = 7.1
1 box = 7.1 - 3.8 = 3.3
Mass of 1 box = 3.3 kg
Mass of 1 box less than 1 tank
= 3.8 - 3.3
= 0.5 kg
Answer(s): (a) 7.1 kg; (b) 38 kg; (c) 0.5 kg