3 tanks and 2 containers can hold 25.4 litres of water.
1 tank and 1 container can hold 9.3 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 5 containers hold?
- How many litres of water can 3 containers and 3 tanks?
(a)
3 tanks + 2 containers = 25.4 --- (1)
1 tank + 1 container = 9.3 --- (2)
(2) x 2
1 tank + 1 container = 9.3
2 tanks + 2 containers = 9.3 x 2
2 tanks + 2 containers = 18.6 --- (3)
(1) - (3)
(3 tanks + 2 containers) - (2 tanks + 2 containers) = 25.4 - 18.6
3 tanks + 2 containers - 2 tanks - 2 containers = 6.8
3 tanks - 2 tanks + 2 containers - 2 containers = 6.8
1 tank = 6.8
Volume of 1 tank = 6.8 ℓ
(b)
Substitute 1 tank = 6.8 into (2).
1 tank + 1 container = 9.3
6.8 + 1 container = 9.3
1 container = 9.3 - 6.8 = 2.5
Volume of 1 container = 2.5 ℓ
(c)
Volume of 5 containers
= 5 x 2.5
= 12.5 ℓ
(d)
Volume of 3 containers and 3 tanks
= 3 x 2.5 + 3 x 6.8
= 7.5 + 20.4
= 27.9 ℓ
Answer(s): (a) 6.8 ℓ; (b) 2.5 ℓ; (c) 12.5 ℓ; (d) 27.9 ℓ