The total mass of 5 boxes and 6 tanks was 36.7 kg.
The total mass of 4 boxes and 4 tanks was 26 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)
5 boxes + 6 tanks = 36.7 --- (1)
4 boxes + 4 tanks = 26 --- (2)
(2)
÷ 4 1 box + 1 tank = 6.5 --- (3)
Mass of 1 box and 1 tank = 6.5 kg
(b)
(3) x 5
5 boxes + 5 tanks = 5 x 6.5
5 boxes + 5 tanks = 32.5 --- (4)
(1) - (4)
(5 boxes + 6 tanks) - (5 boxes + 5 tanks) = 36.7 - 32.5
5 boxes - 5 boxes + 6 tanks - 5 tanks = 4.2
1 tank = 4.2
5 tanks = 4.2 x 5 = 21
Mass of 5 tanks = 21 kg
(c)
Substitute 1 tank = 4.2 into (3).
1 box + 1 tank = 6.5
1 box + 4.2 = 6.5
1 box = 6.5 - 4.2 = 2.3
Mass of 1 box = 2.3 kg
Mass of 1 box less than 1 tank
= 4.2 - 2.3
= 1.9 kg
Answer(s): (a) 6.5 kg; (b) 21 kg; (c) 1.9 kg