6 containers and 5 tanks can hold 72.5 litres of water.
1 container and 1 tank can hold 12.8 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 5 tanks and 6 containers?
(a)
6 containers + 5 tanks = 72.5 --- (1)
1 container + 1 tank = 12.8 --- (2)
(2) x 5
1 container + 1 tank = 12.8
5 containers + 5 tanks = 12.8 x 5
5 containers + 5 tanks = 64 --- (3)
(1) - (3)
(6 containers + 5 tanks) - (5 containers + 5 tanks) = 72.5 - 64
6 containers + 5 tanks - 5 containers - 5 tanks = 8.5
6 containers - 5 containers + 5 tanks - 5 tanks = 8.5
1 container = 8.5
Volume of 1 container = 8.5 ℓ
(b)
Substitute 1 container = 8.5 into (2).
1 container + 1 tank = 12.8
8.5 + 1 tank = 12.8
1 tank = 12.8 - 8.5 = 4.3
Volume of 1 tank = 4.3 ℓ
(c)
Volume of 8 tanks
= 8 x 4.3
= 34.4 ℓ
(d)
Volume of 5 tanks and 6 containers
= 5 x 4.3 + 6 x 8.5
= 21.5 + 51
= 72.5 ℓ
Answer(s): (a) 8.5 ℓ; (b) 4.3 ℓ; (c) 34.4 ℓ; (d) 72.5 ℓ