3 containers and 2 tanks can hold 20.4 litres of water.
1 container and 1 tank can hold 7.3 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 6 tanks hold?
- How many litres of water can 9 tanks and 3 containers?
(a)
3 containers + 2 tanks = 20.4 --- (1)
1 container + 1 tank = 7.3 --- (2)
(2) x 2
1 container + 1 tank = 7.3
2 containers + 2 tanks = 7.3 x 2
2 containers + 2 tanks = 14.6 --- (3)
(1) - (3)
(3 containers + 2 tanks) - (2 containers + 2 tanks) = 20.4 - 14.6
3 containers + 2 tanks - 2 containers - 2 tanks = 5.8
3 containers - 2 containers + 2 tanks - 2 tanks = 5.8
1 container = 5.8
Volume of 1 container = 5.8 ℓ
(b)
Substitute 1 container = 5.8 into (2).
1 container + 1 tank = 7.3
5.8 + 1 tank = 7.3
1 tank = 7.3 - 5.8 = 1.5
Volume of 1 tank = 1.5 ℓ
(c)
Volume of 6 tanks
= 6 x 1.5
= 9 ℓ
(d)
Volume of 9 tanks and 3 containers
= 9 x 1.5 + 3 x 5.8
= 13.5 + 17.4
= 30.9 ℓ
Answer(s): (a) 5.8 ℓ; (b) 1.5 ℓ; (c) 9 ℓ; (d) 30.9 ℓ