7 containers and 6 tanks can hold 56.5 litres of water.
1 container and 1 tank can hold 8.4 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 7 containers?
(a)
7 containers + 6 tanks = 56.5 --- (1)
1 container + 1 tank = 8.4 --- (2)
(2) x 6
1 container + 1 tank = 8.4
6 containers + 6 tanks = 8.4 x 6
6 containers + 6 tanks = 50.4 --- (3)
(1) - (3)
(7 containers + 6 tanks) - (6 containers + 6 tanks) = 56.5 - 50.4
7 containers + 6 tanks - 6 containers - 6 tanks = 6.1
7 containers - 6 containers + 6 tanks - 6 tanks = 6.1
1 container = 6.1
Volume of 1 container = 6.1 ℓ
(b)
Substitute 1 container = 6.1 into (2).
1 container + 1 tank = 8.4
6.1 + 1 tank = 8.4
1 tank = 8.4 - 6.1 = 2.3
Volume of 1 tank = 2.3 ℓ
(c)
Volume of 9 tanks
= 9 x 2.3
= 20.7 ℓ
(d)
Volume of 4 tanks and 7 containers
= 4 x 2.3 + 7 x 6.1
= 9.2 + 42.7
= 51.9 ℓ
Answer(s): (a) 6.1 ℓ; (b) 2.3 ℓ; (c) 20.7 ℓ; (d) 51.9 ℓ