The total mass of 5 boxes and 6 tanks was 30.7 kg.
The total mass of 6 boxes and 6 tanks was 32.4 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)
5 boxes + 6 tanks = 30.7 --- (1)
6 boxes + 6 tanks = 32.4 --- (2)
(2)
÷ 6 1 box + 1 tank = 5.4 --- (3)
Mass of 1 box and 1 tank = 5.4 kg
(b)
(3) x 5
5 boxes + 5 tanks = 5 x 5.4
5 boxes + 5 tanks = 27 --- (4)
(1) - (4)
(5 boxes + 6 tanks) - (5 boxes + 5 tanks) = 30.7 - 27
5 boxes - 5 boxes + 6 tanks - 5 tanks = 3.7
1 tank = 3.7
10 tanks = 3.7 x 10 = 37
Mass of 10 tanks = 37 kg
(c)
Substitute 1 tank = 3.7 into (3).
1 box + 1 tank = 5.4
1 box + 3.7 = 5.4
1 box = 5.4 - 3.7 = 1.7
Mass of 1 box = 1.7 kg
Mass of 1 box less than 1 tank
= 3.7 - 1.7
= 2 kg
Answer(s): (a) 5.4 kg; (b) 37 kg; (c) 2 kg