3 tanks and 2 containers can hold 30.9 litres of water.
1 tank and 1 container can hold 11 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 9 containers hold?
- How many litres of water can 5 containers and 3 tanks?
(a)
3 tanks + 2 containers = 30.9 --- (1)
1 tank + 1 container = 11 --- (2)
(2) x 2
1 tank + 1 container = 11
2 tanks + 2 containers = 11 x 2
2 tanks + 2 containers = 22 --- (3)
(1) - (3)
(3 tanks + 2 containers) - (2 tanks + 2 containers) = 30.9 - 22
3 tanks + 2 containers - 2 tanks - 2 containers = 8.9
3 tanks - 2 tanks + 2 containers - 2 containers = 8.9
1 tank = 8.9
Volume of 1 tank = 8.9 ℓ
(b)
Substitute 1 tank = 8.9 into (2).
1 tank + 1 container = 11
8.9 + 1 container = 11
1 container = 11 - 8.9 = 2.1
Volume of 1 container = 2.1 ℓ
(c)
Volume of 9 containers
= 9 x 2.1
= 18.9 ℓ
(d)
Volume of 5 containers and 3 tanks
= 5 x 2.1 + 3 x 8.9
= 10.5 + 26.7
= 37.2 ℓ
Answer(s): (a) 8.9 ℓ; (b) 2.1 ℓ; (c) 18.9 ℓ; (d) 37.2 ℓ