8 tanks and 7 containers can hold 47.7 litres of water.
1 tank and 1 container can hold 6.3 litres of water.
- How many litres of water can 1 tank hold?
- How many litres of water can 1 container hold?
- How many litres of water can 6 containers hold?
- How many litres of water can 8 containers and 8 tanks?
(a)
8 tanks + 7 containers = 47.7 --- (1)
1 tank + 1 container = 6.3 --- (2)
(2) x 7
1 tank + 1 container = 6.3
7 tanks + 7 containers = 6.3 x 7
7 tanks + 7 containers = 44.1 --- (3)
(1) - (3)
(8 tanks + 7 containers) - (7 tanks + 7 containers) = 47.7 - 44.1
8 tanks + 7 containers - 7 tanks - 7 containers = 3.6
8 tanks - 7 tanks + 7 containers - 7 containers = 3.6
1 tank = 3.6
Volume of 1 tank = 3.6 ℓ
(b)
Substitute 1 tank = 3.6 into (2).
1 tank + 1 container = 6.3
3.6 + 1 container = 6.3
1 container = 6.3 - 3.6 = 2.7
Volume of 1 container = 2.7 ℓ
(c)
Volume of 6 containers
= 6 x 2.7
= 16.2 ℓ
(d)
Volume of 8 containers and 8 tanks
= 8 x 2.7 + 8 x 3.6
= 21.6 + 28.8
= 50.4 ℓ
Answer(s): (a) 3.6 ℓ; (b) 2.7 ℓ; (c) 16.2 ℓ; (d) 50.4 ℓ