The total mass of 4 boxes and 5 tanks was 25.7 kg.
The total mass of 6 boxes and 6 tanks was 33 kg.
- What is the mass of 1 box and 1 tank?
- What is the mass of 8 tanks?
- How much less is the mass of 1 tank than 1 box?
(a)
4 boxes + 5 tanks = 25.7 --- (1)
6 boxes + 6 tanks = 33 --- (2)
(2)
÷ 6 1 box + 1 tank = 5.5 --- (3)
Mass of 1 box and 1 tank = 5.5 kg
(b)
(3) x 4
4 boxes + 4 tanks = 4 x 5.5
4 boxes + 4 tanks = 22 --- (4)
(1) - (4)
(4 boxes + 5 tanks) - (4 boxes + 4 tanks) = 25.7 - 22
4 boxes - 4 boxes + 5 tanks - 4 tanks = 3.7
1 tank = 3.7
8 tanks = 3.7 x 8 = 29.6
Mass of 8 tanks = 29.6 kg
(c)
Substitute 1 tank = 3.7 into (3).
1 box + 1 tank = 5.5
1 box + 3.7 = 5.5
1 box = 5.5 - 3.7 = 1.8
Mass of 1 box = 1.8 kg
Mass of 1 box less than 1 tank
= 3.7 - 1.8
= 1.9 kg
Answer(s): (a) 5.5 kg; (b) 29.6 kg; (c) 1.9 kg