5 containers and 4 tanks can hold 57.1 litres of water.
1 container and 1 tank can hold 12.3 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 6 tanks hold?
- How many litres of water can 8 tanks and 5 containers?
(a)
5 containers + 4 tanks = 57.1 --- (1)
1 container + 1 tank = 12.3 --- (2)
(2) x 4
1 container + 1 tank = 12.3
4 containers + 4 tanks = 12.3 x 4
4 containers + 4 tanks = 49.2 --- (3)
(1) - (3)
(5 containers + 4 tanks) - (4 containers + 4 tanks) = 57.1 - 49.2
5 containers + 4 tanks - 4 containers - 4 tanks = 7.9
5 containers - 4 containers + 4 tanks - 4 tanks = 7.9
1 container = 7.9
Volume of 1 container = 7.9 ℓ
(b)
Substitute 1 container = 7.9 into (2).
1 container + 1 tank = 12.3
7.9 + 1 tank = 12.3
1 tank = 12.3 - 7.9 = 4.4
Volume of 1 tank = 4.4 ℓ
(c)
Volume of 6 tanks
= 6 x 4.4
= 26.4 ℓ
(d)
Volume of 8 tanks and 5 containers
= 8 x 4.4 + 5 x 7.9
= 35.2 + 39.5
= 74.7 ℓ
Answer(s): (a) 7.9 ℓ; (b) 4.4 ℓ; (c) 26.4 ℓ; (d) 74.7 ℓ