3 containers and 2 tanks can hold 16.9 litres of water.
1 container and 1 tank can hold 6.8 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 3 tanks hold?
- How many litres of water can 7 tanks and 3 containers?
(a)
3 containers + 2 tanks = 16.9 --- (1)
1 container + 1 tank = 6.8 --- (2)
(2) x 2
1 container + 1 tank = 6.8
2 containers + 2 tanks = 6.8 x 2
2 containers + 2 tanks = 13.6 --- (3)
(1) - (3)
(3 containers + 2 tanks) - (2 containers + 2 tanks) = 16.9 - 13.6
3 containers + 2 tanks - 2 containers - 2 tanks = 3.3
3 containers - 2 containers + 2 tanks - 2 tanks = 3.3
1 container = 3.3
Volume of 1 container = 3.3 ℓ
(b)
Substitute 1 container = 3.3 into (2).
1 container + 1 tank = 6.8
3.3 + 1 tank = 6.8
1 tank = 6.8 - 3.3 = 3.5
Volume of 1 tank = 3.5 ℓ
(c)
Volume of 3 tanks
= 3 x 3.5
= 10.5 ℓ
(d)
Volume of 7 tanks and 3 containers
= 7 x 3.5 + 3 x 3.3
= 24.5 + 9.9
= 34.4 ℓ
Answer(s): (a) 3.3 ℓ; (b) 3.5 ℓ; (c) 10.5 ℓ; (d) 34.4 ℓ