3 tanks and 2 containers can hold 14.8 litres of water.
1 tank and 1 container can hold 6.2 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 6 containers and 3 tanks?
(a)
3 tanks + 2 containers = 14.8 --- (1)
1 tank + 1 container = 6.2 --- (2)
(2) x 2
1 tank + 1 container = 6.2
2 tanks + 2 containers = 6.2 x 2
2 tanks + 2 containers = 12.4 --- (3)
(1) - (3)
(3 tanks + 2 containers) - (2 tanks + 2 containers) = 14.8 - 12.4
3 tanks + 2 containers - 2 tanks - 2 containers = 2.4
3 tanks - 2 tanks + 2 containers - 2 containers = 2.4
1 tank = 2.4
Volume of 1 tank = 2.4 ℓ
(b)
Substitute 1 tank = 2.4 into (2).
1 tank + 1 container = 6.2
2.4 + 1 container = 6.2
1 container = 6.2 - 2.4 = 3.8
Volume of 1 container = 3.8 ℓ
(c)
Volume of 6 containers
= 6 x 3.8
= 22.8 ℓ
(d)
Volume of 6 containers and 3 tanks
= 6 x 3.8 + 3 x 2.4
= 22.8 + 7.2
= 30 ℓ
Answer(s): (a) 2.4 ℓ; (b) 3.8 ℓ; (c) 22.8 ℓ; (d) 30 ℓ