4 containers and 3 tanks can hold 43.5 litres of water.
1 container and 1 tank can hold 12.1 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 7 tanks hold?
- How many litres of water can 5 tanks and 4 containers?
(a)
4 containers + 3 tanks = 43.5 --- (1)
1 container + 1 tank = 12.1 --- (2)
(2) x 3
1 container + 1 tank = 12.1
3 containers + 3 tanks = 12.1 x 3
3 containers + 3 tanks = 36.3 --- (3)
(1) - (3)
(4 containers + 3 tanks) - (3 containers + 3 tanks) = 43.5 - 36.3
4 containers + 3 tanks - 3 containers - 3 tanks = 7.2
4 containers - 3 containers + 3 tanks - 3 tanks = 7.2
1 container = 7.2
Volume of 1 container = 7.2 ℓ
(b)
Substitute 1 container = 7.2 into (2).
1 container + 1 tank = 12.1
7.2 + 1 tank = 12.1
1 tank = 12.1 - 7.2 = 4.9
Volume of 1 tank = 4.9 ℓ
(c)
Volume of 7 tanks
= 7 x 4.9
= 34.3 ℓ
(d)
Volume of 5 tanks and 4 containers
= 5 x 4.9 + 4 x 7.2
= 24.5 + 28.8
= 53.3 ℓ
Answer(s): (a) 7.2 ℓ; (b) 4.9 ℓ; (c) 34.3 ℓ; (d) 53.3 ℓ