7 containers and 6 tanks can hold 67.3 litres of water.
1 container and 1 tank can hold 10.1 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 4 tanks hold?
- How many litres of water can 4 tanks and 7 containers?
(a)
7 containers + 6 tanks = 67.3 --- (1)
1 container + 1 tank = 10.1 --- (2)
(2) x 6
1 container + 1 tank = 10.1
6 containers + 6 tanks = 10.1 x 6
6 containers + 6 tanks = 60.6 --- (3)
(1) - (3)
(7 containers + 6 tanks) - (6 containers + 6 tanks) = 67.3 - 60.6
7 containers + 6 tanks - 6 containers - 6 tanks = 6.7
7 containers - 6 containers + 6 tanks - 6 tanks = 6.7
1 container = 6.7
Volume of 1 container = 6.7 ℓ
(b)
Substitute 1 container = 6.7 into (2).
1 container + 1 tank = 10.1
6.7 + 1 tank = 10.1
1 tank = 10.1 - 6.7 = 3.4
Volume of 1 tank = 3.4 ℓ
(c)
Volume of 4 tanks
= 4 x 3.4
= 13.6 ℓ
(d)
Volume of 4 tanks and 7 containers
= 4 x 3.4 + 7 x 6.7
= 13.6 + 46.9
= 60.5 ℓ
Answer(s): (a) 6.7 ℓ; (b) 3.4 ℓ; (c) 13.6 ℓ; (d) 60.5 ℓ