5 tanks and 4 containers can hold 35.1 litres of water.
1 tank and 1 container can hold 7.4 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 3 containers hold?
- How many litres of water can 6 containers and 5 tanks?
(a)
5 tanks + 4 containers = 35.1 --- (1)
1 tank + 1 container = 7.4 --- (2)
(2) x 4
1 tank + 1 container = 7.4
4 tanks + 4 containers = 7.4 x 4
4 tanks + 4 containers = 29.6 --- (3)
(1) - (3)
(5 tanks + 4 containers) - (4 tanks + 4 containers) = 35.1 - 29.6
5 tanks + 4 containers - 4 tanks - 4 containers = 5.5
5 tanks - 4 tanks + 4 containers - 4 containers = 5.5
1 tank = 5.5
Volume of 1 tank = 5.5 ℓ
(b)
Substitute 1 tank = 5.5 into (2).
1 tank + 1 container = 7.4
5.5 + 1 container = 7.4
1 container = 7.4 - 5.5 = 1.9
Volume of 1 container = 1.9 ℓ
(c)
Volume of 3 containers
= 3 x 1.9
= 5.7 ℓ
(d)
Volume of 6 containers and 5 tanks
= 6 x 1.9 + 5 x 5.5
= 11.4 + 27.5
= 38.9 ℓ
Answer(s): (a) 5.5 ℓ; (b) 1.9 ℓ; (c) 5.7 ℓ; (d) 38.9 ℓ