6 containers and 5 tanks can hold 39.5 litres of water.
1 container and 1 tank can hold 6.8 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 9 tanks hold?
- How many litres of water can 4 tanks and 6 containers?
(a)
6 containers + 5 tanks = 39.5 --- (1)
1 container + 1 tank = 6.8 --- (2)
(2) x 5
1 container + 1 tank = 6.8
5 containers + 5 tanks = 6.8 x 5
5 containers + 5 tanks = 34 --- (3)
(1) - (3)
(6 containers + 5 tanks) - (5 containers + 5 tanks) = 39.5 - 34
6 containers + 5 tanks - 5 containers - 5 tanks = 5.5
6 containers - 5 containers + 5 tanks - 5 tanks = 5.5
1 container = 5.5
Volume of 1 container = 5.5 ℓ
(b)
Substitute 1 container = 5.5 into (2).
1 container + 1 tank = 6.8
5.5 + 1 tank = 6.8
1 tank = 6.8 - 5.5 = 1.3
Volume of 1 tank = 1.3 ℓ
(c)
Volume of 9 tanks
= 9 x 1.3
= 11.7 ℓ
(d)
Volume of 4 tanks and 6 containers
= 4 x 1.3 + 6 x 5.5
= 5.2 + 33
= 38.2 ℓ
Answer(s): (a) 5.5 ℓ; (b) 1.3 ℓ; (c) 11.7 ℓ; (d) 38.2 ℓ