The total mass of 3 boxes and 4 tanks was 19.4 kg.
The total mass of 5 boxes and 5 tanks was 26.5 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 = 19.4 --- (1)
5 boxes + 5 tanks = 26.5 --- (2)
(2)
÷ 5 1 box + 1 tank = 5.3 --- (3)
Mass of 1 box and 1 tank = 5.3 kg
(b)
(3) x 3
3 boxes + 3 tanks = 3 x 5.3
3 boxes + 3 tanks = 15.9 --- (4)
(1) - (4)
(3 boxes + 4 tanks) - (3 boxes + 3 tanks) = 19.4 - 15.9
3 boxes - 3 boxes + 4 tanks - 3 tanks = 3.5
1 tank = 3.5
10 tanks = 3.5 x 10 = 35
Mass of 10 tanks = 35 kg
(c)
Substitute 1 tank = 3.5 into (3).
1 box + 1 tank = 5.3
1 box + 3.5 = 5.3
1 box = 5.3 - 3.5 = 1.8
Mass of 1 box = 1.8 kg
Mass of 1 box less than 1 tank
= 3.5 - 1.8
= 1.7 kg
Answer(s): (a) 5.3 kg; (b) 35 kg; (c) 1.7 kg