7 containers and 6 tanks can hold 76.9 litres of water.
1 container and 1 tank can hold 11.6 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 4 tanks and 7 containers?
(a)
7 containers + 6 tanks = 76.9 --- (1)
1 container + 1 tank = 11.6 --- (2)
(2) x 6
1 container + 1 tank = 11.6
6 containers + 6 tanks = 11.6 x 6
6 containers + 6 tanks = 69.6 --- (3)
(1) - (3)
(7 containers + 6 tanks) - (6 containers + 6 tanks) = 76.9 - 69.6
7 containers + 6 tanks - 6 containers - 6 tanks = 7.3
7 containers - 6 containers + 6 tanks - 6 tanks = 7.3
1 container = 7.3
Volume of 1 container = 7.3 ℓ
(b)
Substitute 1 container = 7.3 into (2).
1 container + 1 tank = 11.6
7.3 + 1 tank = 11.6
1 tank = 11.6 - 7.3 = 4.3
Volume of 1 tank = 4.3 ℓ
(c)
Volume of 6 tanks
= 6 x 4.3
= 25.8 ℓ
(d)
Volume of 4 tanks and 7 containers
= 4 x 4.3 + 7 x 7.3
= 17.2 + 51.1
= 68.3 ℓ
Answer(s): (a) 7.3 ℓ; (b) 4.3 ℓ; (c) 25.8 ℓ; (d) 68.3 ℓ