6 tanks and 5 containers can hold 36.2 litres of water.
1 tank and 1 container can hold 6.4 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 8 containers hold?
- How many litres of water can 8 containers and 6 tanks?
(a)
6 tanks + 5 containers = 36.2 --- (1)
1 tank + 1 container = 6.4 --- (2)
(2) x 5
1 tank + 1 container = 6.4
5 tanks + 5 containers = 6.4 x 5
5 tanks + 5 containers = 32 --- (3)
(1) - (3)
(6 tanks + 5 containers) - (5 tanks + 5 containers) = 36.2 - 32
6 tanks + 5 containers - 5 tanks - 5 containers = 4.2
6 tanks - 5 tanks + 5 containers - 5 containers = 4.2
1 tank = 4.2
Volume of 1 tank = 4.2 ℓ
(b)
Substitute 1 tank = 4.2 into (2).
1 tank + 1 container = 6.4
4.2 + 1 container = 6.4
1 container = 6.4 - 4.2 = 2.2
Volume of 1 container = 2.2 ℓ
(c)
Volume of 8 containers
= 8 x 2.2
= 17.6 ℓ
(d)
Volume of 8 containers and 6 tanks
= 8 x 2.2 + 6 x 4.2
= 17.6 + 25.2
= 42.8 ℓ
Answer(s): (a) 4.2 ℓ; (b) 2.2 ℓ; (c) 17.6 ℓ; (d) 42.8 ℓ