4 tanks and 3 containers can hold 40.8 litres of water.
1 tank and 1 container can hold 11.1 litres of water.
- How many litres of water can 1 tank hold?
- How many litres of water can 1 container hold?
- How many litres of water can 6 containers hold?
- How many litres of water can 9 containers and 4 tanks?
(a)
4 tanks + 3 containers = 40.8 --- (1)
1 tank + 1 container = 11.1 --- (2)
(2) x 3
1 tank + 1 container = 11.1
3 tanks + 3 containers = 11.1 x 3
3 tanks + 3 containers = 33.3 --- (3)
(1) - (3)
(4 tanks + 3 containers) - (3 tanks + 3 containers) = 40.8 - 33.3
4 tanks + 3 containers - 3 tanks - 3 containers = 7.5
4 tanks - 3 tanks + 3 containers - 3 containers = 7.5
1 tank = 7.5
Volume of 1 tank = 7.5 ℓ
(b)
Substitute 1 tank = 7.5 into (2).
1 tank + 1 container = 11.1
7.5 + 1 container = 11.1
1 container = 11.1 - 7.5 = 3.6
Volume of 1 container = 3.6 ℓ
(c)
Volume of 6 containers
= 6 x 3.6
= 21.6 ℓ
(d)
Volume of 9 containers and 4 tanks
= 9 x 3.6 + 4 x 7.5
= 32.4 + 30
= 62.4 ℓ
Answer(s): (a) 7.5 ℓ; (b) 3.6 ℓ; (c) 21.6 ℓ; (d) 62.4 ℓ