5 containers and 4 tanks can hold 40.3 litres of water.
1 container and 1 tank can hold 8.6 litres of water.
- How many litres of water can 1 container hold?
- How many litres of water can 1 tank hold?
- How many litres of water can 4 tanks hold?
- How many litres of water can 3 tanks and 5 containers?
(a)
5 containers + 4 tanks = 40.3 --- (1)
1 container + 1 tank = 8.6 --- (2)
(2) x 4
1 container + 1 tank = 8.6
4 containers + 4 tanks = 8.6 x 4
4 containers + 4 tanks = 34.4 --- (3)
(1) - (3)
(5 containers + 4 tanks) - (4 containers + 4 tanks) = 40.3 - 34.4
5 containers + 4 tanks - 4 containers - 4 tanks = 5.9
5 containers - 4 containers + 4 tanks - 4 tanks = 5.9
1 container = 5.9
Volume of 1 container = 5.9 ℓ
(b)
Substitute 1 container = 5.9 into (2).
1 container + 1 tank = 8.6
5.9 + 1 tank = 8.6
1 tank = 8.6 - 5.9 = 2.7
Volume of 1 tank = 2.7 ℓ
(c)
Volume of 4 tanks
= 4 x 2.7
= 10.8 ℓ
(d)
Volume of 3 tanks and 5 containers
= 3 x 2.7 + 5 x 5.9
= 8.1 + 29.5
= 37.6 ℓ
Answer(s): (a) 5.9 ℓ; (b) 2.7 ℓ; (c) 10.8 ℓ; (d) 37.6 ℓ