6 tanks and 5 containers can hold 45.2 litres of water.
1 tank and 1 container can hold 8.3 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 4 containers hold?
- How many litres of water can 3 containers and 6 tanks?
(a)
6 tanks + 5 containers = 45.2 --- (1)
1 tank + 1 container = 8.3 --- (2)
(2) x 5
1 tank + 1 container = 8.3
5 tanks + 5 containers = 8.3 x 5
5 tanks + 5 containers = 41.5 --- (3)
(1) - (3)
(6 tanks + 5 containers) - (5 tanks + 5 containers) = 45.2 - 41.5
6 tanks + 5 containers - 5 tanks - 5 containers = 3.7
6 tanks - 5 tanks + 5 containers - 5 containers = 3.7
1 tank = 3.7
Volume of 1 tank = 3.7 ℓ
(b)
Substitute 1 tank = 3.7 into (2).
1 tank + 1 container = 8.3
3.7 + 1 container = 8.3
1 container = 8.3 - 3.7 = 4.6
Volume of 1 container = 4.6 ℓ
(c)
Volume of 4 containers
= 4 x 4.6
= 18.4 ℓ
(d)
Volume of 3 containers and 6 tanks
= 3 x 4.6 + 6 x 3.7
= 13.8 + 22.2
= 36 ℓ
Answer(s): (a) 3.7 ℓ; (b) 4.6 ℓ; (c) 18.4 ℓ; (d) 36 ℓ