7 containers and 6 tanks can hold 52.7 litres of water.
1 container and 1 tank can hold 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 8 tanks hold?
- How many litres of water can 7 tanks and 7 containers?
(a)
7 containers + 6 tanks = 52.7 --- (1)
1 container + 1 tank = 8 --- (2)
(2) x 6
1 container + 1 tank = 8
6 containers + 6 tanks = 8 x 6
6 containers + 6 tanks = 48 --- (3)
(1) - (3)
(7 containers + 6 tanks) - (6 containers + 6 tanks) = 52.7 - 48
7 containers + 6 tanks - 6 containers - 6 tanks = 4.7
7 containers - 6 containers + 6 tanks - 6 tanks = 4.7
1 container = 4.7
Volume of 1 container = 4.7 ℓ
(b)
Substitute 1 container = 4.7 into (2).
1 container + 1 tank = 8
4.7 + 1 tank = 8
1 tank = 8 - 4.7 = 3.3
Volume of 1 tank = 3.3 ℓ
(c)
Volume of 8 tanks
= 8 x 3.3
= 26.4 ℓ
(d)
Volume of 7 tanks and 7 containers
= 7 x 3.3 + 7 x 4.7
= 23.1 + 32.9
= 56 ℓ
Answer(s): (a) 4.7 ℓ; (b) 3.3 ℓ; (c) 26.4 ℓ; (d) 56 ℓ