7 containers and 6 tanks can hold 50.8 litres of water.
1 container and 1 tank can hold 7.7 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 3 tanks hold?
- How many litres of water can 8 tanks and 7 containers?
(a)
7 containers + 6 tanks = 50.8 --- (1)
1 container + 1 tank = 7.7 --- (2)
(2) x 6
1 container + 1 tank = 7.7
6 containers + 6 tanks = 7.7 x 6
6 containers + 6 tanks = 46.2 --- (3)
(1) - (3)
(7 containers + 6 tanks) - (6 containers + 6 tanks) = 50.8 - 46.2
7 containers + 6 tanks - 6 containers - 6 tanks = 4.6
7 containers - 6 containers + 6 tanks - 6 tanks = 4.6
1 container = 4.6
Volume of 1 container = 4.6 ℓ
(b)
Substitute 1 container = 4.6 into (2).
1 container + 1 tank = 7.7
4.6 + 1 tank = 7.7
1 tank = 7.7 - 4.6 = 3.1
Volume of 1 tank = 3.1 ℓ
(c)
Volume of 3 tanks
= 3 x 3.1
= 9.3 ℓ
(d)
Volume of 8 tanks and 7 containers
= 8 x 3.1 + 7 x 4.6
= 24.8 + 32.2
= 57 ℓ
Answer(s): (a) 4.6 ℓ; (b) 3.1 ℓ; (c) 9.3 ℓ; (d) 57 ℓ