5 containers and 4 tanks can hold 36.5 litres of water.
1 container and 1 tank can hold 8.2 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 8 tanks hold?
- How many litres of water can 3 tanks and 5 containers?
(a)
5 containers + 4 tanks = 36.5 --- (1)
1 container + 1 tank = 8.2 --- (2)
(2) x 4
1 container + 1 tank = 8.2
4 containers + 4 tanks = 8.2 x 4
4 containers + 4 tanks = 32.8 --- (3)
(1) - (3)
(5 containers + 4 tanks) - (4 containers + 4 tanks) = 36.5 - 32.8
5 containers + 4 tanks - 4 containers - 4 tanks = 3.7
5 containers - 4 containers + 4 tanks - 4 tanks = 3.7
1 container = 3.7
Volume of 1 container = 3.7 ℓ
(b)
Substitute 1 container = 3.7 into (2).
1 container + 1 tank = 8.2
3.7 + 1 tank = 8.2
1 tank = 8.2 - 3.7 = 4.5
Volume of 1 tank = 4.5 ℓ
(c)
Volume of 8 tanks
= 8 x 4.5
= 36 ℓ
(d)
Volume of 3 tanks and 5 containers
= 3 x 4.5 + 5 x 3.7
= 13.5 + 18.5
= 32 ℓ
Answer(s): (a) 3.7 ℓ; (b) 4.5 ℓ; (c) 36 ℓ; (d) 32 ℓ