5 containers and 4 tanks can hold 53.4 litres of water.
1 container and 1 tank can hold 11.2 litres of water.
- How many litres of water can 1 container hold?
- How many litres of water can 1 tank hold?
- How many litres of water can 8 tanks hold?
- How many litres of water can 6 tanks and 5 containers?
(a)
5 containers + 4 tanks = 53.4 --- (1)
1 container + 1 tank = 11.2 --- (2)
(2) x 4
1 container + 1 tank = 11.2
4 containers + 4 tanks = 11.2 x 4
4 containers + 4 tanks = 44.8 --- (3)
(1) - (3)
(5 containers + 4 tanks) - (4 containers + 4 tanks) = 53.4 - 44.8
5 containers + 4 tanks - 4 containers - 4 tanks = 8.6
5 containers - 4 containers + 4 tanks - 4 tanks = 8.6
1 container = 8.6
Volume of 1 container = 8.6 ℓ
(b)
Substitute 1 container = 8.6 into (2).
1 container + 1 tank = 11.2
8.6 + 1 tank = 11.2
1 tank = 11.2 - 8.6 = 2.6
Volume of 1 tank = 2.6 ℓ
(c)
Volume of 8 tanks
= 8 x 2.6
= 20.8 ℓ
(d)
Volume of 6 tanks and 5 containers
= 6 x 2.6 + 5 x 8.6
= 15.6 + 43
= 58.6 ℓ
Answer(s): (a) 8.6 ℓ; (b) 2.6 ℓ; (c) 20.8 ℓ; (d) 58.6 ℓ