3 containers and 2 tanks can hold 14.7 litres of water.
1 container and 1 tank can hold 5.8 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 4 tanks hold?
- How many litres of water can 8 tanks and 3 containers?
(a)
3 containers + 2 tanks = 14.7 --- (1)
1 container + 1 tank = 5.8 --- (2)
(2) x 2
1 container + 1 tank = 5.8
2 containers + 2 tanks = 5.8 x 2
2 containers + 2 tanks = 11.6 --- (3)
(1) - (3)
(3 containers + 2 tanks) - (2 containers + 2 tanks) = 14.7 - 11.6
3 containers + 2 tanks - 2 containers - 2 tanks = 3.1
3 containers - 2 containers + 2 tanks - 2 tanks = 3.1
1 container = 3.1
Volume of 1 container = 3.1 ℓ
(b)
Substitute 1 container = 3.1 into (2).
1 container + 1 tank = 5.8
3.1 + 1 tank = 5.8
1 tank = 5.8 - 3.1 = 2.7
Volume of 1 tank = 2.7 ℓ
(c)
Volume of 4 tanks
= 4 x 2.7
= 10.8 ℓ
(d)
Volume of 8 tanks and 3 containers
= 8 x 2.7 + 3 x 3.1
= 21.6 + 9.3
= 30.9 ℓ
Answer(s): (a) 3.1 ℓ; (b) 2.7 ℓ; (c) 10.8 ℓ; (d) 30.9 ℓ